Prof Michael Ruzhansky
Professor of Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Publications
Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation2025
Zhang R, Kumar V and Ruzhansky M (2025). Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere. Journal of Mathematical Analysis and Applications, Elsevier vol. 543 (2) 01-03-2025
2024
Chatzakou M and Ruzhansky M (2024). Revised logarithmic Sobolev inequalities of fractional order. Bulletin des Sciences Mathématiques, Elsevier vol. 197 01-12-2024
Kowacs A and Ruzhansky M (2024). Lieb–Thirring inequalities on the spheres and SO(3). Analysis and Mathematical Physics, Springer Nature vol. 14 (6) 19-11-2024
Dasgupta A, Ruzhansky M and Tushir A (2024). Global well‐posedness of space‐time fractional diffusion equation with Rockland operator on graded lie group. Mathematical Methods in the Applied Sciences, Wiley 11-11-2024
Kumar V, Ruzhansky M and Zhang R (2024). Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. Annales Fennici Mathematici, Finnish Mathematical Society vol. 49 (2) 15-10-2024
Cardona D, Delgado J and Ruzhansky M (2024). Estimates for Sums of Eigenfunctions of Elliptic Pseudo-differential Operators on Compact Lie Groups. The Journal of Geometric Analysis, Springer Nature vol. 34 (12) 14-10-2024
Borikhanov MB, Ruzhansky M and Torebek BT (2024). The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg group. Mathematical Methods in the Applied Sciences, Wiley 03-10-2024
Ruzhansky M and Yeskermessuly A (2024). Heat equation for Sturm–Liouville operator with singular propagation and potential. Journal of Applied Analysis, De Gruyter 02-10-2024
Restrepo JE, Ruzhansky M and Torebek BT (2024). Integro-differential diffusion equations on graded Lie groups. Asymptotic Analysis, IOS Press, 1-20. 25-09-2024
Ikromov IA, Ruzhansky M and Safarov AR (2024). Oscillatory integrals for Mittag-Leffler functions with two variables. Comptes Rendus Mathématique vol. 362 (G7), 789-798. 17-09-2024
Ruzhansky M, Sebih ME and Tokmagambetov N (2024). Fractional wave equation with irregular mass and dissipation. Zeitschrift für angewandte Mathematik und Physik, Springer Nature vol. 75 (5) 17-09-2024
Kassymov A, Ruzhansky M and Suragan D (2024). Fractional Hardy-type inequalities on homogeneous Lie groups in the case Q01-09-2024
Dasgupta A, Mondal SS, Ruzhansky M and Tushir A (2024). Time-fractional discrete diffusion equation for Schrödinger operator. Fractional Calculus and Applied Analysis, Springer Nature, 1-32. 19-08-2024
Ghosh A and Ruzhansky M (2024). Sparse bounds for oscillating multipliers on stratified groups. Monatshefte für Mathematik, Springer, 1-19. 16-08-2024
Serikbaev D, Ruzhansky M and Tokmagambetov N (2024). Heat source determining inverse problem for nonlocal in time equation. Mathematical Methods in the Applied Sciences, Wiley 15-08-2024
Kassymov A, Ruzhansky M and Zaur G (2024). On fractional inequalities on metric measure spaces with polar decomposition. Forum Mathematicum, De Gruyter 13-07-2024
Botchway LNA, Chatzakou M and Ruzhansky M (2024). Semi-classical Pseudo-differential Operators on ħZn and Applications. Journal of Fourier Analysis and Applications, Springer Nature vol. 30 (4) 10-07-2024
Ruzhansky M, Cardona D and Delgado J (2024). Well-posedness for a class of pseudo-differential hyperbolic equations on the torus. Aequationes Mathematicae, Springer 06-07-2024
Chatzakou M, Kassymov A and Ruzhansky M (2024). Logarithmic Sobolev inequalities on Lie groups. The Journal of Geometric Analysis 27-06-2024
Ruzhansky M and Torebek BT (2024). Van der Corput lemmas for Mittag-Leffler functions. I. Zeitschrift für Analysis und ihre Anwendungen, European Mathematical Society - EMS - Publishing House vol. 43 (3), 349-376. 27-06-2024
Cardona D, Delgado J and Ruzhansky M (2024). Boundedness of the dyadic maximal function on graded Lie groups. The Quarterly Journal of Mathematics, Oxford University Press (OUP) vol. 75 (3), 809-834. 14-06-2024
Ruzhansky M, DASGUPTA A, KUMAR V and Mondal SS (2024). Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order. Journal of Evolution Equations, Springer 09-06-2024
Cardona D, Federico S and Ruzhansky M (2024). Subelliptic sharp Gårding inequality on compact Lie groups. Pure and Applied Analysis, Mathematical Sciences Publishers vol. 6 (2), 455-485. 16-05-2024
Ruzhansky M and Yessirkegenov N (2024). Hardy–Sobolev–Rellich, Hardy–Littlewood–Sobolev and Caffarelli–Kohn–Nirenberg Inequalities on General Lie Groups. The Journal of Geometric Analysis, Springer Nature vol. 34 (7) 09-05-2024
Federico S and Ruzhansky M (2024). Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. Nonlinear Analysis, Elsevier vol. 242 01-05-2024
Ruzhansky M, KASSYMOV A and KUMAR V (2024). Functional inequalities on symmetric spaces of noncompact type and applications. The Journal of Geometric Analysis, Springer Nature 30-04-2024
Ruzhansky M and Yessirkegenov N (2024). Hypoelliptic functional inequalities. Mathematische Zeitschrift, Springer Nature vol. 307 (2) 29-04-2024
Ruzhansky M and Yeskermessuly A (2024). Schrödinger equation for Sturm–Liouville operator with singular propagation and potential. Zeitschrift für Analysis und ihre Anwendungen, European Mathematical Society - EMS - Publishing House 16-04-2024
Zhang R, Kumar V and Ruzhansky M (2024). A direct method of moving planes for logarithmic Schrödinger operator. Zeitschrift für Analysis und ihre Anwendungen, European Mathematical Society - EMS - Publishing House vol. 43 (3), 287-297. 16-04-2024
Ruzhansky M, Shaimardan S and Yeskermessuly A (2024). Wave equation for Sturm-Liouville operator with singular potentials. Journal of Mathematical Analysis and Applications, Elsevier vol. 531 (1) 01-03-2024
Wang X, Huang J, Chatzakou M, Medijainen K, Toomela A, Nõmm S and Ruzhansky M (2024). LSTM-CNN: An efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis. Computer Methods and Programs in Biomedicine, Elsevier, 108066-108066. 01-02-2024
Fino AZ, Ruzhansky M and Torebek BT (2024). Fujita-type results for the degenerate parabolic equations on the Heisenberg groups. Nonlinear Differential Equations and Applications NoDEA, Springer Nature vol. 31 (2), 19-19. 20-01-2024
Ruzhansky M, Shriwastawa A and Tiwari B (2024). Hardy inequalities on metric measure spaces, IV: The case p=1. Forum Mathematicum, De Gruyter vol. 36 (6), 1603-1611. 15-01-2024
Avetisyan Z and Ruzhansky M (2024). Publisher Correction: A NOTE ON THE POLAR DECOMPOSITION IN METRIC SPACES. Journal of Mathematical Sciences, Springer Nature vol. 280 (1), 83-83. 13-01-2024
Roychowdhury P, Ruzhansky M and Suragan D (2024). Multidimensional Frank–Laptev–Weidl improvement of the Hardy inequality. Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), 1-17. 11-01-2024
Cardona D, Duduchava R, Hendrickx A and Ruzhansky M (2024). Generic Bessel Potential Spaces on Lie Groups. Tbilisi Analysis and PDE Seminar 43-54. 01-01-2024
Borikhanov MB, Ruzhansky M and Torebek BT (2024). Instantaneous blow-up solutions for nonlinear Sobolev-type equations on the Heisenberg groups. Discrete and Continuous Dynamical Systems - S, American Institute of Mathematical Sciences (AIMS) 01-01-2024
Ashyralyev A, Ruzhansky M and Sadybekov MA (2024). Preface. Trends in Mathematics vol. 6, v-vi. 01-01-2024
Wang X, Huang J, Chatzakou M, Nõmm S, Valla E, Medijainen K, Taba P, Toomela A and Ruzhansky M (2024). Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, Elsevier vol. 87 01-01-2024
Chatzakou M, Kassymov A and Ruzhansky M (2024). ANISOTROPIC SHANNON INEQUALITY. Osaka Journal of Mathematics vol. 61 (1), 79-89. 01-01-2024
Chatzakou M, Huang J, Parakhonskiy BV, Ruzhansky M, Skirtach AG, Song J and Wang X (2024). Performing Particle Image Segmentation on an Extremely Small Dataset. Extended Abstracts 2021/2022 295-304. 01-01-2024
Cardona D, Delgado J and Ruzhansky M (2024). A Note on the Local Weyl Formula on Compact Lie Groups. Journal of Lie Theory vol. 34 (1), 237-248. 01-01-2024
Fischer V, Rottensteiner D and Ruzhansky M (2024). Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory. Journal of Lie Theory vol. 34 (1), 51-92. 01-01-2024
Wang X, Nõmm S, Huang J, Chatzakou M and Ruzhansky M (2024). An Efficient Neural Network for the Diagnosis of Parkinson’s Disease Using Dynamic Handwriting Analysis. Extended Abstracts MWCAPDE 2023 97-104. 01-01-2024
2023
Avetisyan Z and Ruzhansky M (2023). A NOTE ON THE POLAR DECOMPOSITION IN METRIC SPACES. Journal of Mathematical Sciences, Springer Nature vol. 280 (1), 73-82. 11-12-2023
Ruzhansky M and Abolarinwa A (2023). Generalised hard type and Rellich type inequalities on Heisenberg Group’. Journal of Pseudo-Differential Operators and Applications, Springer 08-12-2023
Ruzhansky M, Shriwastawa A and Tiwari BANKTESHWAR (2023). A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups’. Results in Mathematics, Springer 02-12-2023
Kassymov A, Ragusa MA, Ruzhansky M and Suragan D (2023). Stein-Weiss-Adams inequality on Morrey spaces. Journal of Functional Analysis, Elsevier vol. 285 (11) 01-12-2023
Zhang R, Kumar V and Ruzhansky M (2023). Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian. Acta Applicandae Mathematicae, Springer Nature vol. 188 (1), 16-16. 01-12-2023
Ruzhansky M, Kumar V and Restrepo J (2023). Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity. Results in Mathematics, Springer 22-11-2023
Restrepo JE, Ruzhansky M and Suragan D (2023). Generalized fractional Dirac type operators. Fractional Calculus and Applied Analysis, Springer Nature vol. 26 (6), 2720-2756. 27-10-2023
KUMAR V and RUZHANSKY M (2023). – MULTIPLIERS ON COMMUTATIVE HYPERGROUPS. Journal of the Australian Mathematical Society, Cambridge University Press (CUP) vol. 115 (3), 375-395. 18-10-2023
Ruzhansky M and Yeskermessuly A (2023). Wave Equation for Sturm–Liouville Operator with Singular Intermediate Coefficient and Potential. Bulletin of the Malaysian Mathematical Sciences Society, Springer Nature vol. 46 (6), 195-195. 03-10-2023
Chatzakou M, Dasgupta A, Ruzhansky M and Tushir A (2023). Discrete heat equation with irregular thermal conductivity and tempered distributional data. Proceedings of the Royal Society of Edinburgh Section A Mathematics, Cambridge University Press (CUP), 1-24. 04-09-2023
Ruzhansky M and Sabitbek B (2023). Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group. European Journal of Mathematics, Springer Nature vol. 9 (3) 17-07-2023
Cardona D and Ruzhansky M (2023). Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups. Potential Analysis, Springer Nature vol. 60 (3), 965-1005. 12-07-2023
Wang X, Huang J, Chatzakou M, Medijainen K, Taba P, Toomela A, Nõmm S and Ruzhansky M (2023). A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics. 2023 IEEE 36th International Symposium on Computer-Based Medical Systems (CBMS). 24-06-2023
Ruzhansky M, Sebih ME and Tokmagambetov N (2023). Schrödinger equation with singular position dependent mass. Zeitschrift für Analysis und ihre Anwendungen, European Mathematical Society - EMS - Publishing House vol. 42 (1), 131-144. 22-06-2023
Sánchez DC, Kumar V, Ruzhansky M and Tokmagambetov N (2023). Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. Advances in Operator Theory, Springer Nature vol. 8 (3) 20-06-2023
Ghosh S, Kumar V and Ruzhansky M (2023). Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups. Mathematische Annalen, Springer Nature vol. 388 (4), 4201-4249. 10-05-2023
Huang J, Ruzhansky M, Zhang Q and Wang H (2023). Intrinsic Image Transfer for Illumination Manipulation. IEEE Transactions on Pattern Analysis and Machine Intelligence, Institute of Electrical and Electronics Engineers (IEEE) vol. 45 (6), 7444-7456. 05-05-2023
Cardona D and Ruzhansky M (2023). Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. Complex Variables and Elliptic Equations, Taylor & Francis vol. 69 (7), 1049-1082. 02-05-2023
Rottensteiner D and Ruzhansky M (2023). An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups. Archiv der Mathematik, Springer Nature vol. 120 (5), 507-520. 15-03-2023
de Moraes WAA, Restrepo JE and Ruzhansky M (2023). Heat- and Wave-Type Equations with Nonlocal Operators, I. Compact Lie Groups. International Mathematics Research Notices, Oxford University Press (OUP) vol. 2024 (2), 1299-1328. 04-03-2023
Huang J, Wang H, Wang X and Ruzhansky M (2023). Semi-Sparsity for Smoothing Filters. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers (IEEE) vol. 32, 1627-1639. 28-02-2023
Kassymov A, Ruzhansky M and Torebek BT (2023). Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner Inequalities for Fractional Elliptic Problems. Mediterranean Journal of Mathematics, Springer Nature vol. 20 (3) 17-02-2023
Chatzakou M, Restrepo JE and Ruzhansky M (2023). Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. 28-01-2023
Kassymov A, Ruzhansky M and Suragan D (2023). Hardy inequalities on metric measure spaces, III: the case q p 0 and applications. Proceedings of the Royal Society A, The Royal Society vol. 479 (2269) 01-01-2023
Wang X, Huang H, Chatzakou M, Medijainen K, Taba P, Toomela A, Nomm S and Ruzhansky M (2023). A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics. 01-01-2023
Cardona D, Delgado J, Grajales B and Ruzhansky M (2023). Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria. Communications on Pure and Applied Analysis, American Institute of Mathematical Sciences (AIMS) vol. 22 (11), 3295-3329. 01-01-2023
2022
Cardona D and Ruzhansky M (2022). Oscillating singular integral operators on compact Lie groups revisited. Mathematische Zeitschrift, Springer Nature vol. 303 (2) 29-12-2022
Borikhanov MB, Ruzhansky M and Torebek BT (2022). Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation. Fractional Calculus and Applied Analysis, Springer Nature vol. 26 (1), 111-146. 05-12-2022
Hong Q, Hu G and Ruzhansky M (2022). Fourier multipliers for Hardy spaces on graded Lie groups. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Cambridge University Press, 1-22. 02-11-2022
Chatzakou M, Delgado J and Ruzhansky M (2022). On a class of anharmonic oscillators II. General case. Bulletin des Sciences Mathématiques, Elsevier vol. 180 01-11-2022
Rottensteiner D and Ruzhansky M (2022). Harmonic and anharmonic oscillators on the Heisenberg group. Journal of Mathematical Physics, AIP Publishing vol. 63 (11) 01-11-2022
Cardona D, Delgado J and Ruzhansky M (2022). Drift diffusion equations with fractional diffusion on compact Lie groups. Journal of Evolution Equations, Springer Nature vol. 22 (4) 12-10-2022
Ruzhansky M, Safarov AR and Khasanov GA (2022). Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4. Analysis and Mathematical Physics, Springer vol. 12 (6) 06-10-2022
Akylzhanov R, Kuznetsova Y, Ruzhansky M and Zhang H (2022). Norms of certain functions of a distinguished Laplacian on the $ax+b$ groups. Mathematische Zeitschrift, Springer 26-09-2022
Akylzhanov R, Kuznetsova Y, Ruzhansky M and Zhang H (2022). Norms of certain functions of a distinguished Laplacian on the ax+b groups. Mathematische Zeitschrift, Springer Nature vol. 302 (4), 2327-2352. 26-09-2022
Cardona D and Ruzhansky M (2022). Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups. Mathematische Zeitschrift, Springer Nature vol. 302 (4), 1957-1981. 08-09-2022
Ruzhansky M, Torebek BT and Turmetov B (2022). Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems. Journal of Integral Equations and Applications, Rocky Mountain Mathematics Consortium vol. 34 (3) 01-09-2022
Cardona D, Delgado J and Ruzhansky M (2022). Determinants and Plemelj-Smithies formulas. Monatshefte für Mathematik, Springer Nature vol. 199 (3), 459-482. 26-08-2022
Kassymov A, Ruzhansky M and Suragan D (2022). Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems. Potential Analysis, Springer Nature vol. 59 (4), 1971-1994. 18-08-2022
Kassymov A, Ruzhansky M and Suragan D (2022). Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups. Forum Mathematicum, De Gruyter vol. 34 (5), 1147-1158. 23-07-2022
Cardona D and Ruzhansky M (2022). Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Archiv der Mathematik, Springer Nature vol. 119 (2), 189-198. 06-07-2022
Karimov E, Ruzhansky M and Toshtemirov B (2022). Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative. Mathematical Methods in the Applied Sciences, Wiley vol. 46 (1), 54-70. 17-06-2022
Ruzhansky M, Sabitbek B and Torebek B (2022). Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups. manuscripta mathematica, Springer Nature vol. 171 (3-4), 377-395. 04-05-2022
Chatzakou M, Ruzhansky M and Tokmagambetov N (2022). The Heat Equation with Singular Potentials. II: Hypoelliptic Case. Acta Applicandae Mathematicae, Springer Nature vol. 179 (1) 26-04-2022
Chatzakou M, Ruzhansky M and Tokmagambetov N (2022). Fractional Schrödinger equations with singular potentials of higher
order. II: Hypoelliptic case. Reports on Mathematical Physics, Elsevier 28-02-2022
Cardona D and Ruzhansky M (2022). Oscillating singular integral operators on compact Lie groups revisited. 21-02-2022
Dasgupta A, Ruzhansky M and Tushir A (2022). Discrete time-dependent wave equations I. Semiclassical analysis. Journal of Differential Equations, Elsevier 11-02-2022
Ruzhansky M and Yessirkegenov N (2022). A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Nonlinear Analysis, Elsevier vol. 215 01-02-2022
Cardona D and Ruzhansky M (2022). Boundedness of oscillating singular integrals on Lie groups of polynomial growth. 30-01-2022
Cardona D and Ruzhansky M (2022). Oscillating singular integral operators on graded Lie groups revisited. 30-01-2022
Kumar V and Ruzhansky M (2022). HARDY-LITTLEWOOD INEQUALITY AND Lp-Lq FOURIER MULTIPLIERS ON COMPACT HYPERGROUPS. Journal of Lie Theory, Heldermann Verlag 01-01-2022
Kirilov A, de Moraes WAA and Ruzhansky M (2022). Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. Communications on Pure and Applied Analysis, American Institute of Mathematical Sciences (AIMS) vol. 21 (11), 3919-3940. 01-01-2022
2021
Kassymov A, Ruzhansky M and Suragan D (2021). Reverse integral Hardy inequality on metric measure spaces. Annales Fennici Mathematici, Finnish Mathematical Society vol. 47 (1), 39-55. 29-11-2021
Chatzakou M, Delgado J and Ruzhansky M (2021). On a class of anharmonic oscillators II. General case. 23-11-2021
Ruzhansky M and Yessirkegenov N (2021). Existence and non-existence of global solutions for semilinear heat
equations and inequalities on sub-Riemannian manifolds, and Fujita exponent
on unimodular Lie groups. Journal of Differential Equations, Elsevier 17-11-2021
Cardona D, Delgado J and Ruzhansky M (2021). Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations. 14-11-2021
Ruzhansky M and Yessirkegenov N (2021). Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type
inequalities on Riemannian manifolds with negative curvature. Journal of Mathematical Analysis and Applications, Elsevier 30-10-2021
Chatzakou M, Ruzhansky M and Tokmagambetov N (2021). The heat equation with singular potentials. II: Hypoelliptic case. 24-10-2021
Kirilov A, de Moraes WAA and Ruzhansky M (2021). Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes. Zeitschrift für Analysis und ihre Anwendungen, European Mathematical Society - EMS - Publishing House vol. 40 (4), 425-451. 11-10-2021
Kumar V and Ruzhansky M (2021). L p -Lq Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations. International Mathematics Research Notices, Oxford University Press (OUP) vol. 2023 (2), 1073-1093. 08-10-2021
Cardona D and Ruzhansky M (2021). Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups. Collectanea Mathematica, Springer Nature vol. 73 (3), 477-504. 06-10-2021
Kassymov A, Ruzhansky M, Tokmagambetov N and Torebek BT (2021). Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group. 03-10-2021
Cardona D, Federico S and Ruzhansky M (2021). Subelliptic sharp Gårding inequality on compact Lie groups. 02-10-2021
Ruzhansky M and Yessirkegenov N (2021). Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states. Communications in Contemporary Mathematics, World Scientific Publishing vol. 24 (08) 24-08-2021
Delgado J and Ruzhansky M (2021). Schatten-von Neumann classes of integral operators. Journal de Mathematiques Pures et Appliquees, Elsevier 16-08-2021
Restrepo JE, Ruzhansky M and Suragan D (2021). Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions. Applied Mathematics and Computation vol. 403 15-08-2021
Ruzhansky M and Velasquez‐Rodriguez JP (2021). Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary. Mathematische Nachrichten, Wiley vol. 294 (9), 1783-1820. 13-08-2021
Kumar V and Ruzhansky M (2021). Titchmarsh theorems, Hausdorff-Young-Paley inequality and $L^p$-$L^q$ boundedness of Fourier multipliers on harmonic $NA$ groups. 27-07-2021
Ruzhansky M, Serikbaev D, Torebek BT and Tokmagambetov N (2021). Direct and inverse problems for time-fractional pseudo-parabolic equations. Quaestiones Mathematicae, National Inquiry Services Center (NISC) vol. 45 (7), 1071-1089. 23-07-2021
Dasgupta A and Ruzhansky M (2021). Correction to: Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality. Journal of Fourier Analysis and Applications, Springer Nature vol. 27 (4) 20-07-2021
Chatzakou M, Delgado J and Ruzhansky M (2021). On a class of anharmonic oscillators. Journal de Mathematiques Pures et Appliquees, Elsevier 16-07-2021
Chatzakou M, Ruzhansky M and Tokmagambetov N (2021). Fractional Klein-Gordon equation with singular mass. II: Hypoelliptic
case. Complex Variables and Elliptic Equations: an international journal, Taylor & Francis 14-07-2021
Chatzakou M, Kassymov A and Ruzhansky M (2021). Logarithmic Hardy-Rellich inequalities on Lie groups. 10-07-2021
Ruzhansky M, Torebek BT and Turmetov BK (2021). Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic
problems. Journal of Integral Equations and Applications, 2022 07-07-2021
Huang J, Ruzhansky M, Zhang Q and Wang H (2021). Intrinsic Image Transfer for Illumination Manipulation. 01-07-2021
Ruzhansky M and Torebek BT (2021). Van der Corput lemmas for Mittag-Leffler functions. II.
$α$-directions. Bulletin des Sciences Mathematiques, Elsevier 21-06-2021
Altybay A, Ruzhansky M, Sebih ME and Tokmagambetov N (2021). The heat equation with strongly singular potentials. Applied Mathematics and Computation vol. 399 15-06-2021
Bin-Saad MG, Hasanov A and Ruzhansky M (2021). Some properties relating to the Mittag–Leffler function of two variables. Integral Transforms and Special Functions 14-06-2021
Ruzhansky M and Verma D (2021). Hardy inequalities on metric measure spaces, II: the case p>q. Proceedings of the Royal Society A, The Royal Society vol. 477 (2250) 01-06-2021
Cardona D, Delgado J and Ruzhansky M (2021). Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. 31-05-2021
Rottensteiner D and Ruzhansky M (2021). Harmonic and Anharmonic Oscillators on the Heisenberg Group. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier 25-05-2021
Cardona D, Delgado J and Ruzhansky M (2021). $L^p$-bounds for pseudo-differential operators on graded Lie groups. Journal of Geometric Analysis, Springer Verlag 22-05-2021
Avetisyan Z, Grigoryan M and Ruzhansky M (2021). Approximations in $L^1$ with convergent Fourier series. Mathematische Zeitschrift, Springer (part of Springer Nature) 25-04-2021
Cardona D and Ruzhansky M (2021). Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. 19-04-2021
Cardona D and Ruzhansky M (2021). A local-to-global weak (1,1) type argument and applications to Fourier integral operators. 22-03-2021
Karimov E, Ruzhansky M and Tokmagambetov N (2021). Cauchy type problems for fractional differential equations. Integral Transforms and Special Functions, Taylor & Francis vol. 33 (1), 47-64. 17-03-2021
Karimov E, Ruzhansky M and Toshtemirov B (2021). A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's bi-ordinal fractional derivative. 16-03-2021
Dasgupta A and Ruzhansky M (2021). Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality. Journal of Fourier Analysis and Applications, Springer Verlag vol. 27 (2) 09-03-2021
Altybay A, Ruzhansky M, Sebih ME and Tokmagambetov N (2021). Fractional Schrödinger Equation with Singular Potentials of Higher Order. Reports on Mathematical Physics, Elsevier vol. 87 (1), 129-144. 17-02-2021
Ruzhansky M and Taranto C-A (2021). Time-dependent wave equations on graded groups. Acta Applicandae Mathematicae, Springer (part of Springer Nature) 04-02-2021
Altybay A, Ruzhansky M, Sebih ME and Tokmagambetov N (2021). The heat equation with singular potentials. Applied Mathematics and Computation, Elsevier 02-02-2021
Altybay A, Ruzhansky M, Sebih ME and Tokmagambetov N (2021). Fractional Klein-Gordon equation with singular mass. CHAOS SOLITONS & FRACTALS vol. 143 01-02-2021
Cardona D and Ruzhansky M (2021). Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups. 28-01-2021
Restrepo JE, Ruzhansky M and Suragan D (2021). Generalized fractional Dirac type operators. 27-01-2021
Ruzhansky M, Sabitbek B and Suragan D (2021). Principal frequency of p-sub-Laplacians for general vector fields. Zeitschrift für Analysis und ihre Anwendungen, EMS Press vol. 40 (1), 97-109. 21-01-2021
Hong Q, Hu G and Ruzhansky M (2021). Fourier multipliers for Hardy spaces on graded Lie groups. 19-01-2021
Cardona D, Kumar V, Ruzhansky M and Tokmagambetov N (2021). Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. 14-01-2021
Cardona D, Kumar V, Ruzhansky M and Tokmagambetov N (2021). Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. 07-01-2021
Kumar V and Ruzhansky M (2021). A note on $K$-functional, Modulus of smoothness, Jackson theorem and
Nikolskii-Stechkin inequality on Damek-Ricci spaces. Journal of Approximation Theory, Elsevier 05-01-2021
Fischer V and Ruzhansky M (2021). Fourier multipliers on graded Lie groups. Colloquium Mathematicum, Institute of Mathematics, Polish Academy of Sciences vol. 165 (1), 1-30. 01-01-2021
Ruzhansky M, Sabitbek B and Suragan D (2021). Geometric Hardy Inequalities on Starshaped Sets. JOURNAL OF CONVEX ANALYSIS vol. 28 (3), 927-938. 01-01-2021
2020
Ruzhansky M and Yessirkegenov N (2020). Factorizations and Hardy–Rellich inequalities on stratified groups. Journal of Spectral Theory, European Mathematical Society - EMS - Publishing House vol. 10 (4), 1361-1411. 24-12-2020
Fischer V, Ruzhansky M and Taranto CA (2020). Subelliptic Gevrey spaces. Mathematische Nachrichten, Wiley vol. 294 (2), 265-285. 02-12-2020
Ruzhansky M and Torebek BT (2020). Multidimensional van der Corput-Type estimates involving Mittag-Leffler functions. Fractional Calculus and Applied Analysis, Springer Nature vol. 23 (6), 1663-1677. 01-12-2020
Ben-Artzi M, Ruzhansky M and Sugimoto M (2020). Spectral Identities And Smoothing Estimates For Evolution Operators. Advances in Differential Equations vol. 26 (11-12), 627-650. 01-11-2020
Ben-Artzi M, Ruzhansky M and Sugimoto M (2020). Spectral identities and smoothing estimates for evolution operators. Advances in Differential Equations, Khayyam Publishing vol. 25 (11/12) 01-11-2020
Ruzhansky M, De Morales WAA and Kirilov A (2020). Global hypoellipticity and global solvability for vector fields on compact Lie groups. Journal of Functional Analysis, Elsevier 13-10-2020
Ruzhansky M, KASSYMOV A, TOKMAGAMBETOV N and TOREBEK BT (2020). Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives. Banach Journal of Mathematical Analysis, Tusi Mathematical Research Group 07-10-2020
Ruzhansky M, Tokmagambetov N and Yessirkegenov N (2020). Best constants in Sobolev and Gagliardo–Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations. Calculus of Variations and Partial Differential Equations vol. 59 (5) 01-10-2020
Rottensteiner D and Ruzhansky M (2020). The Harmonic Oscillator on the Heisenberg Group. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 358 (5), 609-614. 14-09-2020
Cardona D and Ruzhansky M (2020). Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. 21-08-2020
Ruzhansky M, Altybay A and Tokmagambetov N (2020). A parallel hybrid implementation of the 2D acoustic wave equation. International Journal of Nonlinear Sciences and Numerical Simulation, De Gruyter 24-07-2020
Torijano CAR and Ruzhansky M (2020). Subelliptic Wave Equations with Log-Lipschitz coefficients. 18-07-2020
Akylzhanov R, Liflyand E and Ruzhansky M (2020). Re-expansions on compact Lie groups. Analysis and Mathematical Physics, Springer (part of Springer Nature) 13-07-2020
Ruzhansky M, Sabitbek B and Suragan D (2020). Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups. Bulletin of Mathematical Sciences, World Scientific Publishing vol. 10 (03) 04-07-2020
Kassymov A, Ruzhansky M and Torebek BT (2020). Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems. 30-06-2020
Garetto C, Jäh C and Ruzhansky M (2020). Hyperbolic systems with non-diagonalisable principal part and variable
multiplicities, II: microlocal analysis. Journal of Differential Equations, Elsevier 16-06-2020
Ruzhansky M, Suragan D and Yessirkegenov N (2020). Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities
on homogeneous groups. Semigroup Forum, Springer Verlag 10-06-2020
Botchway LNA, Kibiti PG and Ruzhansky M (2020). Difference equations and pseudo-differential operators on Z n. Journal of Functional Analysis, Elsevier vol. 278 (11) 01-06-2020
KARIMOV E, MAMCHUEV M and RUZHANSKY M (2020). Non-local initial problem for second order time-fractional and space-singular equation. Hokkaido Mathematical Journal, Department of Mathematics, Hokkaido University vol. 49 (2), 349-361. 01-06-2020
Ruzhansky M and Hasanov A (2020). Self-Similar Solutions of Some Model Degenerate Partial Differential Equations of the Second, Third, and Fourth Order. Lobachevskii Journal of Mathematics, Pleiades Publishing vol. 41 (6), 1103-1114. 01-06-2020
Altybay A, Ruzhansky M, Sebih ME and Tokmagambetov N (2020). Tsunami propagation for singular topographies. 25-05-2020
Sánchez DC, Kumar V, Ruzhansky M and Tokmagambetov N (2020). $L^p$-$L^q$ boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. 11-05-2020
Federico S and Ruzhansky M (2020). Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. 04-05-2020
Kirilov A, de Moraes WAA and Ruzhansky M (2020). Partial Fourier series on compact Lie groups. Bulletin des Sciences Mathématiques, Elsevier vol. 160 01-05-2020
Karimov E, Ruzhansky M and Tokmagambetov N (2020). Initial, inner and inner-boundary problems for a fractional differential equation. 07-04-2020
Ruzhansky M, Sabitbek B and Suragan D (2020). Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Annals of Functional Analysis, Springer Nature vol. 11 (4), 1042-1061. 02-04-2020
Ruzhansky M, Tokmagambetov N and Torebek BT (2020). On a non–local problem for a multi–term fractional diffusion-wave equation. Fractional Calculus and Applied Analysis, Springer Nature vol. 23 (2), 324-355. 01-04-2020
Mamaeva S, Kononova I, Ruzhansky M, Nikiforov P, Nikolaevа N, Pavlov A, Fedorova N, Huang J, Semenova M, Barashkova D, Frolova L and Maksimov G (2020). Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients. International Journal of Biomedicine, International Medical Research and Development vol. 10 (1), 70-75. 15-03-2020
Ruzhansky M and Torebek BT (2020). Van der Corput lemmas for Mittag-Leffler functions. I. 18-02-2020
Ruzhansky M, Sadybekov M and Suragan D (2020). Spectral Geometry of Partial Differential Operators. 07-02-2020
Akylzhanov R and Ruzhansky M (2020). L p -L q multipliers on locally compact groups. Journal of Functional Analysis, Elsevier vol. 278 (3) 01-02-2020
Kumar V and Ruzhansky M (2020). Hausdorff-Young inequality for Orlicz spaces on compact homogeneous
manifolds. Indagationes Mathematicae, Elsevier 25-01-2020
Ruzhansky M, Sabitbek B and Suragan D (2020). Hardy and Rellich inequalities for anisotropic p-sub-Laplacians. Banach Journal of Mathematical Analysis, Springer Nature vol. 14 (2), 380-398. 01-01-2020
Hasanov A and Ruzhansky M (2020). Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order. Lobachevskii Journal of Mathematics, Pleiades Publishing vol. 41 (1), 27-31. 01-01-2020
Ben-Artzi M, Ruzhansky M and Sugimoto M (2020). SPECTRAL IDENTITIES AND SMOOTHING ESTIMATES FOR EVOLUTION OPERATORS. ADVANCES IN DIFFERENTIAL EQUATIONS vol. 25 (11-12), 627-650. 01-01-2020
2019
Kassymov A, Ruzhansky M and Suragan D (2019). FRACTIONAL LOGARITHMIC INEQUALITIES AND BLOW-UP RESULTS WITH LOGARITHMIC NONLINEARITY ON HOMOGENEOUS GROUPS. No DEA: Nonlinear Differential Equations and Applications, Springer Verlag 21-12-2019
Kassymov A, Ruzhansky M and Suragan D (2019). Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. 30-11-2019
Kirilov A, de Moraes WAA and Ruzhansky M (2019). Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. 05-11-2019
Ruzhansky M and Yessirkegenov N (2019). Very weak solutions to hypoelliptic wave equations. Journal of Differential Equations, Elsevier 28-10-2019
Laptev A, Ruzhansky M and Yessirkegenov N (2019). Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Mathematica Scandinavica, Det Kgl. Bibliotek/Royal Danish Library vol. 125 (2), 239-269. 19-10-2019
Ruzhansky M, Tokmagambetov N and Torebek BT (2019). Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations. Journal of Inverse and Ill-posed Problems, De Gruyter 15-10-2019
Ruzhansky M and Yessirkegenov N (2019). Limiting cases of Sobolev inequalities on stratified groups. Proceedings of the Japan Academy Series A Mathematical Sciences, Project Euclid vol. 95 (8), 83-87. 01-10-2019
Akylzhanov R and Ruzhansky M (2019). Lp-Lq multipliers on locally compact groups. Journal of Functional Analysis, Elsevier vol. 278 (3) 25-09-2019
Ruzhansky M, Tokmagambetov N and Torebek BT (2019). Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group. Integral Transforms and Special Functions 18-08-2019
Kassymov A, Ruzhansky M and Suragan D (2019). Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions vol. 30 (8), 643-655. 03-08-2019
Akylzhanov R, Nursultanov E and Ruzhansky M (2019). Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier
multipliers on compact homogeneous manifolds. Journal of Mathematical Analysis and Applications, Elsevier 05-07-2019
Ruzhansky M and Tokmagambetov N (2019). On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential and Integral Equations, Khayyam Publishing vol. 32 (7/8) 01-07-2019
Ruzhansky M and Suragan D (2019). Critical Hardy inequalities. Annales Academiae Scientiarum Fennicae Mathematica, Finnish Mathematical Society vol. 44 (2), 1159-1174. 01-06-2019
Ruzhansky M and Suragan D (2019). Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-sub-Laplacian Equations on Stratified Lie Groups. Potential Analysis, Springer Nature vol. 53 (2), 645-658. 01-05-2019
Kalmenov TS, Ruzhansky M and Suragan D (2019). On spectral and boundary properties of the volume potential for the Helmholtz equation. Mathematical Modelling of Natural Phenomena vol. 14 (5) 04-04-2019
Ruzhansky M, Sabitbek B and Suragan D (2019). Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. Nonlinear Differential Equations and Applications NoDEA, Springer Nature vol. 26 (2) 01-04-2019
Muñoz JC, Ruzhansky M and Tokmagambetov N (2019). Acoustic and Shallow Water Wave Propagation with Irregular Dissipation. Functional Analysis and Its Applications, Pleiades Publishing vol. 53 (2), 153-156. 01-04-2019
Ruzhansky M and Verma D (2019). Hardy inequalities on metric measure spaces. Proceedings of the Royal Society A, The Royal Society vol. 475 (2223) 01-03-2019
Muñoz JC, Ruzhansky M and Tokmagambetov N (2019). Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. Journal de Mathématiques Pures et Appliquées, Elsevier vol. 123, 127-147. 01-03-2019
Matsuyama T and Ruzhansky M (2019). On the Gevrey well-posedness of the Kirchhoff equation. Journal d'Analyse Mathématique, Springer Nature vol. 137 (1), 449-468. 01-03-2019
Esposito M and Ruzhansky M (2019). Pseudo-differential operators with nonlinear quantizing functions. Proceedings of the Royal Society of Edinburgh Section A Mathematics, Cambridge University Press (CUP) vol. 150 (1), 103-130. 23-01-2019
Cardona D and Ruzhansky M (2019). Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. 21-01-2019
Daher R, Delgado J and Ruzhansky M (2019). Titchmarsh theorems for Fourier transforms of Hölder–Lipschitz functions on compact homogeneous manifolds. Monatshefte für Mathematik, Springer Nature vol. 189 (1), 23-49. 10-01-2019
Ruzhansky M and Sugimoto M (2019). A local-to-global boundedness argument and Fourier integral operators. Journal of Mathematical Analysis and Applications 07-01-2019
Ruzhansky M and Tokmagambetov N (2019). On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential and Integral Equations vol. 32 (7-8), 455-478. 01-01-2019
Ruzhansky M and Tokmagambetov N (2019). Wave equation for 2D Landau hamiltonian. Applied and Computational Mathematics vol. 18 (1), 69-78. 01-01-2019
Ruzhansky M and Yessirkegenov N (2019). New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. Landscapes of Time-Frequency Analysis 277-289. 01-01-2019
Huang J, Ruzhanshy M, Feng H, Zheng L, Huang X and Wang H (2019). Feature extraction for license plate location based on L0-norm smoothing. Open Computer Science, De Gruyter vol. 9 (1), 128-135. 01-01-2019
Ruzhansky M and Suragan D (2019). Elements of Potential Theory on Stratified Groups. Progress in Mathematics 451-500. 01-01-2019
Ruzhansky M and Suragan D (2019). Integral Hardy Inequalities on Homogeneous Groups. Progress in Mathematics 237-269. 01-01-2019
Ruzhansky M and Suragan D (2019). Hardy–Rellich Inequalities and Fundamental Solutions. Progress in Mathematics 331-372. 01-01-2019
Ruzhansky M and Suragan D (2019). Geometric Hardy Inequalities on Stratified Groups. Progress in Mathematics 373-388. 01-01-2019
Ruzhansky M and Suragan D (2019). Analysis on Homogeneous Groups. Progress in Mathematics 11-70. 01-01-2019
Ruzhansky M and Suragan D (2019). Function Spaces on Homogeneous Groups. Progress in Mathematics 405-450. 01-01-2019
Ruzhansky M and Suragan D (2019). Hardy and Rellich Inequalities for Sums of Squares of Vector Fields. Progress in Mathematics 501-543. 01-01-2019
Ruzhansky M and Suragan D (2019). Horizontal Inequalities on Stratified Groups. Progress in Mathematics 271-329. 01-01-2019
Ruzhansky M and Suragan D (2019). Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities. Progress in Mathematics 129-189. 01-01-2019
Ruzhansky M and Suragan D (2019). Fractional Hardy Inequalities. Progress in Mathematics 191-235. 01-01-2019
Ruzhansky M and Suragan D (2019). Uncertainty Relations on Homogeneous Groups. Progress in Mathematics 389-403. 01-01-2019
Ruzhansky M and Suragan D (2019). Hardy Inequalities on Homogeneous Groups. Progress in Mathematics 71-127. 01-01-2019
Altybay A, Ruzhansky M and Tokmagambetov N (2019). Wave equation with distributional propagation speed and mass term: Numerical simulations. Applied Mathematics E - Notes vol. 19, 552-562. 01-01-2019
Ruzhansky M, Serikbaev D and Tokmagambetov N (2019). An inverse problem for the pseudo-parabolic equation for Laplace operator. International Journal of Mathematics and Physics, al-Farabi Kazakh National University vol. 10 (1), 23-28. 01-01-2019
Ruzhansky M and Suragan D (2019). Hardy Inequalities on Homogeneous Groups, 100 Years of Hardy Inequalities. 01-01-2019
2018
Fischer V, Rottensteiner D and Ruzhansky M (2018). Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory. 19-12-2018
Ruzhansky M and Yessirkegenov N (2018). Rellich inequalities for sub-Laplacians with drift. Proceedings of the American Mathematical Society, American Mathematical Society (AMS) vol. 147 (3), 1335-1349. 06-12-2018
Ruzhansky M and Tokmagambetov N (2018). Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. Journal of Differential Equations, Elsevier vol. 265 (10), 5212-5236. 01-11-2018
Ozawa T, Ruzhansky M and Suragan D (2018). L p -Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups. The Quarterly Journal of Mathematics, Oxford University Press (OUP) vol. 70 (1), 305-318. 04-10-2018
Cardona D and Ruzhansky M (2018). Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. 02-10-2018
Măntoiu M and Ruzhansky M (2018). Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits. The Journal of Geometric Analysis, Springer Nature vol. 29 (3), 2823-2861. 27-09-2018
Akylzhanov R, Majid S and Ruzhansky M (2018). Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups. Communications in Mathematical Physics, Springer Nature vol. 362 (3), 761-799. 13-08-2018
Ruzhansky M and Suragan D (2018). A comparison principle for nonlinear heat Rockland operators on graded groups. Bulletin of the London Mathematical Society, Wiley vol. 50 (5), 753-758. 16-07-2018
Ruzhansky M, Sabitbek B and Suragan D (2018). Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups. Revista Matematica Complutense, 1-17. 29-06-2018
Ruzhansky M and Suragan D (2018). A NOTE ON STABILITY OF HARDY INEQUALITIES. ANNALS OF FUNCTIONAL ANALYSIS vol. 9 (4), 451-462. 15-06-2018
Delgado J and Ruzhansky M (2018). Fourier multipliers, symbols, and nuclearity on compact manifolds. Journal d'Analyse Mathématique, Springer Nature vol. 135 (2), 757-800. 01-06-2018
Ruzhansky M, Suragan D and Yessirkegenov N (2018). Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces. Fractional Calculus and Applied Analysis, Springer Nature vol. 21 (3), 577-612. 01-06-2018
Dasgupta A and Ruzhansky M (2018). Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations. Transactions of the American Mathematical Society Series B vol. 5 (4), 81-101. 07-05-2018
Ruzhansky M and Yessirkegenov N (2018). Hypoelliptic functional inequalities. Mathematische Zeitschrift, Springer 02-05-2018
Ruzhansky MV and Tokmagambetov NE (2018). On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field. Mathematical Notes, Pleiades Publishing vol. 103 (5-6), 856-858. 01-05-2018
Delgado J and Ruzhansky M (2018). The bounded approximation property of variable Lebesgue spaces and nuclearity. Mathematica Scandinavica, Det Kgl. Bibliotek/Royal Danish Library vol. 122 (2), 299-319. 08-04-2018
Ruzhansky MV and Suragan D (2018). Elements of Potential Theory on Carnot Groups. Functional Analysis and Its Applications, Springer Nature vol. 52 (2), 158-161. 01-04-2018
Garetto C, Jäh C and Ruzhansky M (2018). Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness. Mathematische Annalen, Springer Nature vol. 372 (3-4), 1597-1629. 22-03-2018
Ruzhansky M, Suragan D and Yessirkegenov N (2018). Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for L p L^{p} -weighted Hardy inequalities. Transactions of the American Mathematical Society Series B, American Mathematical Society (AMS) vol. 5 (2), 32-62. 14-02-2018
Ruzhansky M, Suragan D and Yessirkegenov N (2018). Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups. Integral Equations and Operator Theory, Springer Nature vol. 90 (1) 01-02-2018
Ruzhansky M and Tokmagambetov N (2018). Convolution, Fourier analysis, and distributions generated by Riesz bases. Monatshefte fur Mathematik vol. 187 (1), 147-170. 22-01-2018
Ruzhansky MV and Tokmagambetov N (2018). On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field: Об очень слабом решении волнового уравнения для гамильтониана в сингулярном электромагнитном поле. Mathematical Notes, Steklov Mathematical Institute vol. 103 (5), 790-793. 01-01-2018
Aliev FA, Larin VB, Mahmudov NI, Safarova NA, Konstantinov MM, Castillo O and Ruzhansky M (2018). COIA 2018. Applied and Computational Mathematics vol. 17 (3) 01-01-2018
2017
Ruzhansky M and Suragan D (2017). Geometric maximizers of Schatten norms of some convolution type integral operators. Journal of Mathematical Analysis and Applications, Elsevier vol. 456 (1), 444-456. 01-12-2017
Ruzhansky M, Suragan D and Yessirkegenov N (2017). Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups. Nonlinear Differential Equations and Applications vol. 24 (5) 22-08-2017
Garofalo N, Ruzhansky M and Suragan D (2017). On Green functions for Dirichlet sub-Laplacians on H-type groups. Journal of Mathematical Analysis and Applications, Elsevier vol. 452 (2), 896-905. 01-08-2017
Ruzhansky M and Suragan D (2017). Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups. Advances in Mathematics vol. 317, 799-822. 27-07-2017
Ruzhansky M and Tokmagambetov N (2017). Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed. Archive for Rational Mechanics and Analysis vol. 226 (3), 1161-1207. 26-07-2017
Kanguzhin B, Ruzhansky M and Tokmagambetov N (2017). On convolutions in Hilbert spaces. Functional Analysis and Its Applications, Springer Nature vol. 51 (3), 221-224. 01-07-2017
Ruzhansky M and Suragan D (2017). Local hardy and rellich inequalities for sums of squares of vector fields. Advances in Differential Equations vol. 22 (7-8), 505-540. 01-07-2017
Ruzhansky M and Suragan D (2017). Local Hardy and Rellich inequalities for sums of squares of vector fields. Advances in Differential Equations, Khayyam Publishing vol. 22 (7/8) 01-07-2017
Dasgupta A and Ruzhansky M (2017). Erratum to “The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups”. Journal d'Analyse Mathématique, Springer Nature vol. 132 (1), 395-395. 01-06-2017
Delgado J, Ruzhansky M and Tokmagambetov N (2017). Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary. Journal de Mathématiques Pures et Appliquées, Elsevier vol. 107 (6), 758-783. 01-06-2017
Ruzhansky M and Suragan D (2017). Uncertainty relations on nilpotent Lie groups. Proc Math Phys Eng Sci vol. 473 (2201), 20170082-20170082. 17-05-2017
Ruzhansky M, Suragan D and Yessirkegenov N (2017). Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities. Comptes Rendus Mathematique vol. 355 (6), 694-698. 09-05-2017
Matsuyama T and Ruzhansky M (2017). Almost global well-posedness of Kirchhoff equation with Gevrey data. Comptes Rendus Mathematique vol. 355 (5), 522-525. 18-04-2017
Delgado J and Ruzhansky M (2017). -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP) vol. 18 (3), 531-559. 03-04-2017
Cardona D and Ruzhansky M (2017). Multipliers for Besov spaces on graded Lie groups. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 355 (4), 400-405. 11-03-2017
Garetto C and Ruzhansky M (2017). On C∞ well-posedness of hyperbolic systems with multiplicities. Annali di Matematica Pura ed Applicata (1923 -), Springer Nature vol. 196 (5), 1819-1834. 25-02-2017
Ruzhansky M and Suragan D (2017). On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups. Journal of Differential Equations, Elsevier vol. 262 (3), 1799-1821. 01-02-2017
Ruzhansky M and Suragan D (2017). Anisotropic L2-weighted Hardy and L2-Caffarelli-Kohn-Nirenberg inequalities. Communications in Contemporary Mathematics vol. 19 (6) 25-01-2017
Ruzhansky M and Suragan D (2017). Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups. Advances in Mathematics vol. 308, 483-528. 02-01-2017
Fischer V and Ruzhansky M (2017). Sobolev spaces on graded Lie groups. Annales de l’institut Fourier, Cellule MathDoc/Centre Mersenne vol. 67 (4), 1671-1723. 01-01-2017
Delgado J and Ruzhansky M (2017). Schatten classes and traces on compact groups. Mathematical Research Letters, International Press of Boston vol. 24 (4), 979-1003. 01-01-2017
Ruzhansky M, Agarwal P, Area I and Karimov ET (2017). Preface for the Special Issue on “Special functions and analysis of PDEs”. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 12 (3), 1-3. 01-01-2017
Ruzhansky M and Tokmagambetov N (2017). Nonharmonic Analysis of Boundary Value Problems Without WZ Condition. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 12 (1), 115-140. 01-01-2017
Agarwal P, Karimov E, Mamchuev M and Ruzhansky M (2017). On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operators. Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science 707-718. 01-01-2017
Ruzhansky M and Suragan D (2017). Isoperimetric Inequalities for Some Integral Operators Arising in Potential Theory. 01-01-2017
Mantoiu M and Ruzhansky M (2017). Pseudo-Differential Operators, Wigner Transform and Weyl Systems on Type I Locally Compact Groups. Documenta Mathematica, European Mathematical Society - EMS - Publishing House vol. 22, 1539-1592. 01-01-2017
Altybay A, Ruzhansky M and Tokmagambetov N (2017). On numerical simulations of the 1d wave equation with a distributional coefficient and source term. International Journal of Mathematics and Physics, al-Farabi Kazakh National University vol. 8 (2), 28-32. 01-01-2017
Кангужин БЕ, Kanguzhin BE, Ружанский МВ, Ruzhansky MV, Токмагамбетов НЕ and Tokmagambetov NE (2017). On Convolutions in Hilbert Spaces. Functional Analysis and Its Applications, Springer Verlag vol. 51 (3), 77-80. 01-01-2017
Akylzhanov R and Ruzhansky M (2017). NET SPACES ON LATTICES, HARDY-LITTLEWOOD TYPE INEQUALITIES, AND THEIR CONVERSES. EURASIAN MATHEMATICAL JOURNAL vol. 8 (3), 10-27. 01-01-2017
2016
Delgado J, Ruzhansky M and Wang B (2016). Grothendieck–Lidskii trace formula for mixed-norm and variable Lebesgue spaces. Journal of Spectral Theory, European Mathematical Society - EMS - Publishing House vol. 6 (4), 781-791. 09-12-2016
Ruzhansky M and Tokmagambetov N (2016). Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field. Letters in Mathematical Physics, Springer Nature vol. 107 (4), 591-618. 21-11-2016
Cardona D and Ruzhansky M (2016). Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. 15-10-2016
Nursultanov E, Ruzhansky M and Tikhonov S (2016). Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Scuola Normale Superiore - Edizioni della Normale, 981-1017. 29-09-2016
Akylzhanov RK, Nursultanov ED and Ruzhansky MV (2016). Hardy–Littlewood–Paley-type inequalities on compact Lie groups. Mathematical Notes vol. 100 (1-2), 309-312. 24-08-2016
Berdyshev A, Kalimoldayev M and Ruzhansky M (2016). Preface to the Special Issue on “Mathematical modelling in applied sciences”. Open Engineering, De Gruyter vol. 6 (1) 23-08-2016
Akylzhanov R and Ruzhansky M (2016). Fourier multipliers and group von Neumann algebras. Comptes Rendus Mathematique vol. 354 (8), 766-770. 01-08-2016
Delgado J, Ruzhansky M and Wang B (2016). Approximation property and nuclearity on mixed‐norm Lp, modulation and Wiener amalgam spaces. Journal of the London Mathematical Society, Wiley vol. 94 (2), 391-408. 16-06-2016
Rozenblum G, Ruzhansky M and Suragan D (2016). Isoperimetric inequalities for Schatten norms of Riesz potentials. Journal of Functional Analysis vol. 271 (1), 224-239. 29-04-2016
Garetto C and Ruzhansky M (2016). On hyperbolic systems with time-dependent Hölder characteristics. Annali di Matematica Pura ed Applicata vol. 196 (1), 155-164. 12-04-2016
Ruzhansky M and Suragan D (2016). On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries. Bulletin of Mathematical Sciences, World Scientific Publishing vol. 6 (2), 325-334. 08-04-2016
Ruzhansky MV and Suragan D (2016). On Schatten norms of convolution-type integral operators. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 71 (1), 157-158. 28-02-2016
Dasgupta A and Ruzhansky M (2016). The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups. Journal d'Analyse Mathématique, Springer Nature vol. 128 (1), 179-190. 01-02-2016
Ruzhansky M and Suragan D (2016). Isoperimetric inequalities for the logarithmic potential operator. Journal of Mathematical Analysis and Applications, Elsevier vol. 434 (2), 1676-1689. 01-02-2016
Dasgupta A and Ruzhansky M (2016). Eigenfunction expansions of ultradifferentiable functions and ultradistributions. Transactions of the American Mathematical Society, American Mathematical Society (AMS) vol. 368 (12), 8481-8498. 14-01-2016
Akylzhanov R, Nurlustanov E and Ruzhansky M (2016). Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2). Studia Mathematica, Institute of Mathematics, Polish Academy of Sciences, 1-29. 01-01-2016
Ruzhansky M, Wang B and Zhang H (2016). Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces. Journal de Mathématiques Pures et Appliquées, Elsevier vol. 105 (1), 31-65. 01-01-2016
Ruzhansky M and Tikhonov S (2016). Some Problems in Fourier Analysis and Approximation Theory. Methods of Fourier Analysis and Approximation Theory 1-19. 01-01-2016
Fischer V and Ruzhansky M (2016). Rockland operators and Sobolev spaces. Progress in Mathematics 171-269. 01-01-2016
Fischer V and Ruzhansky M (2016). Preliminaries on lie groups. Progress in Mathematics 15-56. 01-01-2016
Fischer V and Ruzhansky M (2016). Quantization on compact lie groups. Progress in Mathematics 57-90. 01-01-2016
Fischer V and Ruzhansky M (2016). Homogeneous lie groups. Progress in Mathematics 91-170. 01-01-2016
Fischer V and Ruzhansky M (2016). Pseudo-differential operators on the Heisenberg group. Progress in Mathematics 427-489. 01-01-2016
Fischer V and Ruzhansky M (2016). Quantization on graded lie groups. Progress in Mathematics 271-426. 01-01-2016
Ruzhansky MV and Suragan D (2016). О нормах Шаттена интегральных операторов типа свертки: On Schatten norms of convolution-type integral operators. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 71 (1(427)), 169-170. 01-01-2016
2015
Ruzhansky M and Sugimoto M (2015). Global regularity properties for a class of Fourier integral operators. 12-10-2015
Akylzhanov R and Ruzhansky M (2015). Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses. 05-10-2015
Ruzhansky M and Tokmagambetov N (2015). Nonharmonic Analysis of Boundary Value Problems. International Mathematics Research Notices, Oxford University Press (OUP) vol. 2016 (12), 3548-3615. 02-09-2015
Ruzhansky M and Sugimoto M (2015). Smoothing estimates for non-dispersive equations. Mathematische Annalen, Springer Nature vol. 365 (1-2), 241-269. 22-08-2015
Nursultanov ED, Ruzhansky MV and Tikhonov SY (2015). Nikolskii inequality and functional classes on compact lie groups. Functional Analysis and Its Applications, Springer Nature vol. 49 (3), 226-229. 01-07-2015
Ruzhansky M and Suragan D (2015). On Kac’s principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group. Proceedings of the American Mathematical Society, American Mathematical Society (AMS) vol. 144 (2), 709-721. 26-06-2015
Garetto C and Ruzhansky M (2015). Wave equation for sums of squares on compact Lie groups. Journal of Differential Equations, Elsevier vol. 258 (12), 4324-4347. 01-06-2015
Ruzhansky M and Wirth J (2015). Lp Fourier multipliers on compact Lie groups. Mathematische Zeitschrift, Springer Nature vol. 280 (3-4), 621-642. 08-03-2015
Matsuyama T and Ruzhansky M (2015). Global well-posedness of the Kirchhoff equation and Kirchhoff systems. 01-01-2015
Nursultanov ED, Ruzhansky MV and Tikhonov SY (2015). Nikolskii Inequality and Functional Classes on Compact Lie Groups: Неравенство Никольского и функциональные классы на компактных группах Ли. Functional Analysis and Its Applications, Steklov Mathematical Institute vol. 49 (3), 83-87. 01-01-2015
2014
Garetto C and Ruzhansky M (2014). Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients. Archive for Rational Mechanics and Analysis, Springer Nature vol. 217 (1), 113-154. 20-12-2014
Matsuyama T and Ruzhansky M (2014). Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems. Analytic Methods in Interdisciplinary Applications 81-96. 21-11-2014
Ruzhansky M and Sugimoto M (2014). On global inversion of homogeneous maps. Bulletin of Mathematical Sciences, World Scientific Publishing vol. 5 (1), 13-18. 29-10-2014
Delgado J and Ruzhansky M (2014). Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 352 (10), 779-784. 23-09-2014
Dasgupta A and Ruzhansky M (2014). Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces. Bulletin des Sciences Mathématiques, Elsevier vol. 138 (6), 756-782. 01-09-2014
Ruzhansky M and Sugimoto M (2014). Trace theorems: critical cases and best constants. Proceedings of the American Mathematical Society, American Mathematical Society (AMS) vol. 143 (1), 227-237. 28-08-2014
Delgado J and Ruzhansky M (2014). Schatten classes on compact manifolds: Kernel conditions. Journal of Functional Analysis, Elsevier vol. 267 (3), 772-798. 01-08-2014
Delgado J and Ruzhansky M (2014). Lp-nuclearity, traces, and Grothendieck–Lidskii formula on compact Lie groups. Journal de Mathématiques Pures et Appliquées, Elsevier vol. 102 (1), 153-172. 01-07-2014
Ruzhansky M and Wirth J (2014). Global functional calculus for operators on compact Lie groups. Journal of Functional Analysis, Elsevier vol. 267 (1), 144-172. 01-07-2014
Ruzhansky M, Turunen V and Wirth J (2014). Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity. Journal of Fourier Analysis and Applications, Springer Nature vol. 20 (3), 476-499. 08-04-2014
Garetto C and Ruzhansky M (2014). A note on weakly hyperbolic equations with analytic principal part. Journal of Mathematical Analysis and Applications, Elsevier vol. 412 (1), 1-14. 01-04-2014
Fischer V and Ruzhansky M (2014). A pseudo-differential calculus on the Heisenberg group. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 352 (3), 197-204. 03-02-2014
Coriasco S and Ruzhansky M (2014). Global L p L^p continuity of Fourier integral operators. Transactions of the American Mathematical Society, American Mathematical Society (AMS) vol. 366 (5), 2575-2596. 13-01-2014
Iftime OV, Roman M and Sandovici A (2014). A Kernel Representation of Dirac Structures for Infinite-dimensional Systems. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 295-308. 01-01-2014
Ibragimov NH, Ibragimov RN and Galiakberova LR (2014). Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 111-118. 01-01-2014
Han B (2014). The Projection Method for Multidimensional Framelet and Wavelet Analysis. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 83-110. 01-01-2014
Ibragimov R and Vatchev V (2014). Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 138-147. 01-01-2014
Zinchenko M (2014). CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 282-294. 01-01-2014
Molahajloo S (2014). A Characterization of Compact SG Pseudo-differential Operators on L2(ℝn). Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 239-243. 01-01-2014
Duan X (2014). Spectral Theory of the Hermite Operator on Lp(Rn). Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 39-43. 01-01-2014
Labate D, Laezza F, Negi P, Ozcan B and Papadakis M (2014). Efficient Processing of Fluorescence Images Using Directional Multiscale Representations. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 177-193. 01-01-2014
Ibragimov RN and Tartakovsky A (2014). Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 119-137. 01-01-2014
Iosevich A, Rudnev M and Uriarte-Tuero I (2014). Theory of Dimension for Large Discrete Sets and Applications. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 148-169. 01-01-2014
Ramm AG and Andriychuk MI (2014). Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 254-269. 01-01-2014
Ramm AG (2014). Inverse Scattering Problem with Underdetermined Data. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 244-253. 01-01-2014
Adami R and Noja D (2014). Exactly Solvable Models and Bifurcations: the Case of the Cubic NLS with a δ or a δ′ Interaction in Dimension One. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 1-16. 01-01-2014
Mei M and Yessen W (2014). Tridiagonal Substitution Hamiltonians. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 204-238. 01-01-2014
Catană V (2014). Lp-boundedness of Multilinear Pseudo-differential Operators on Zn and Tn. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 17-38. 01-01-2014
Li J and Wong MW (2014). Localization Operators for Ridgelet Transforms. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 194-203. 01-01-2014
Fischbacher C and Stolz G (2014). The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 44-72. 01-01-2014
Stoiciu M (2014). Spectral Properties of Random and Deterministic CMV Matrices. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 9 (5), 270-281. 01-01-2014
Shayakhmetova A, Samigulina G and Ruzhansky M (2014). Basic overview and analysis in the area of distance learning. Life Science Journal vol. 11 (SPEC. ISSUE 4), 179-184. 01-01-2014
Cruz-Uribe D, Fiorenza A, Ruzhansky M and Wirth J (2014). Variable Lebesgue Spaces and Hyperbolic Systems. 01-01-2014
2013
Fischer V and Ruzhansky M (2013). A Pseudo-differential Calculus on Graded Nilpotent Lie Groups. 30-12-2013
Matsuyama T and Ruzhansky M (2013). Global well-posedness of Kirchhoff systems. Journal de Mathématiques Pures et Appliquées, Elsevier vol. 100 (2), 220-240. 01-08-2013
Matsuyama T and Ruzhansky M (2013). Scattering for strictly hyperbolic systems with time‐dependent coefficients. Mathematische Nachrichten, Wiley vol. 286 (11‐12), 1191-1207. 27-03-2013
Ruzhansky MV and Wirth J (2013). On multipliers on compact Lie groups. Functional Analysis and Its Applications, Springer Nature vol. 47 (1), 72-75. 01-03-2013
Garetto C and Ruzhansky M (2013). Weakly hyperbolic equations with non-analytic coefficients and lower order terms. Mathematische Annalen, Springer Nature vol. 357 (2), 401-440. 05-02-2013
Gramchev T and Ruzhansky M (2013). Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part. 01-01-2013
Ruzhansky M (2013). An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis. Mathematical Modelling of Natural Phenomena, EDP Sciences vol. 8 (1), 230-236. 01-01-2013
Fischer V and Ruzhansky M (2013). Lower bounds for operators on graded Lie groups. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 351 (1-2), 13-18. 01-01-2013
Ruzhansky M and Sugimoto M (2013). Recent Progress in Smoothing Estimates for Evolution Equations. 01-01-2013
Reissig M and Ruzhansky M (2013). Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posednes. 01-01-2013
2012
Garetto C and Ruzhansky M (2012). On the well-posedness of weakly hyperbolic equations with time-dependent coefficients. Journal of Differential Equations, Elsevier vol. 253 (5), 1317-1340. 01-09-2012
Ruzhansky M and Sugimoto M (2012). Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations. Communications in Mathematical Physics, Springer Nature vol. 314 (2), 281-304. 26-07-2012
Ruzhansky M and Turunen V (2012). Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces. International Mathematics Research Notices, Oxford University Press (OUP) vol. 2013 (11), 2439-2496. 17-04-2012
Ruzhansky M and Sugimoto M (2012). Smoothing properties of evolution equations via canonical transforms and comparison principle. Proceedings of the London Mathematical Society, Wiley vol. 105 (2), 393-423. 13-03-2012
Ruzhansky M (2012). Multidimensional decay in the van der Corput lemma. Studia Mathematica, Institute of Mathematics, Polish Academy of Sciences vol. 208 (1), 1-10. 01-01-2012
Ruzhansky M, Sugimoto M and Wang B (2012). Modulation spaces and nonlinear evolution equations. 01-01-2012
Ruzhansky M, Sugimoto M and Wang B (2012). Modulation Spaces and Nonlinear Evolution Equations. Evolution Equations of Hyperbolic and Schrödinger Type 267-283. 01-01-2012
Ruzhansky M and Sugimoto M (2012). Smoothing properties of inhomogeneous equations via canonical transforms. Rendiconti del Seminario Matematico vol. 70 (2), 165-182. 01-01-2012
2011
Ruzhansky M and Wirth J (2011). Dispersive type estimates for Fourier integrals and applications to hyperbolic systems. Discrete and Continuous Dynamical Systems- Series A (SUPPL.), 1263-1270. 01-09-2011
Ruzhansky M, Sugimoto M, Toft J and Tomita N (2011). Changes of variables in modulation and Wiener amalgam spaces. Mathematische Nachrichten, Wiley vol. 284 (16), 2078-2092. 05-08-2011
Ruzhansky M and Wirth J (2011). Dispersive estimates for hyperbolic systems with time-dependent coefficients. Journal of Differential Equations, Elsevier vol. 251 (4-5), 941-969. 01-08-2011
Ruzhansky M and Sugimoto M (2011). Weighted Sobolev L2 estimates for a class of Fourier integral operators. Mathematische Nachrichten, Wiley vol. 284 (13), 1715-1738. 28-06-2011
Ruzhansky M and Turunen V (2011). Sharp Gårding inequality on compact Lie groups. Journal of Functional Analysis, Elsevier vol. 260 (10), 2881-2901. 01-05-2011
Ruzhansky M and Wirth J (2011). Modern aspects of the theory of partial differential equations. 01-01-2011
2010
Matsuyama T and Ruzhansky M (2010). Asymptotic integration and dispersion for hyperbolic equations. Advances in Differential Equations vol. 15 (7-8), 721-756. 01-12-2010
Coriasco S and Ruzhansky M (2010). On the boundedness of Fourier integral operators on Lp(Rn). Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 348 (15-16), 847-851. 01-08-2010
Ruzhansky M and Wirth J (2010). Dynamical systems. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Functional differential and difference equations. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Analytical, geometrical and numerical methods in Clifford- and Cayley-Dickson algebras. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Modern aspects of the theory of integral transforms. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Complex variables and potential theory. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Control and optimisation of nonlinear evolutionary systems. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Differential equations: Complex and functional analytic methods, applications. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Stochastic analysis. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Dispersive equations. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Clifford and quaternion analysis. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Reproducing kernels and related topics. Progress in Analysis and Its Applications. 01-07-2010
Ruzhansky M and Wirth J (2010). Zeros and gamma lines — value distributions of real and complex functions. Progress in Analysis and Its Applications. 01-07-2010
Matsuyama T and Ruzhansky M (2010). Asymptotic integration and dispersion for hyperbolic equations. Advances in Differential Equations, Khayyam Publishing vol. 15 (7/8) 01-07-2010
Ruzhansky M and Sugimoto M (2010). Criteria for Bochner's extension problem. Asymptotic Analysis, IOS Press vol. 66 (3-4), 125-138. 01-01-2010
Ruzhansky M and Wirth J (2010). Erratum: Dispersive estimates for 7-dependent hyperbolic systems (Rendiconti Seminario Matematico Università Politecnico Torino (2008) 66:4 (339-349). Rendiconti del Seminario Matematico vol. 68 (1) 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 8. Examples and extensions. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 131-141. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 1. Introduction. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 1-13. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 7. Frequencies around multiplicities. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 107-129. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 6. Decay of solutions to the Cauchy problem. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 79-106. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 5. Oscillatory integrals without convexity. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 73-77. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 4. Oscillatory integrals with convexity. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 53-71. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 3. Properties of hyperbolic polynomials. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 35-52. 01-01-2010
Ruzhansky M and Smith J (2010). Chapter 2. Main estimates. Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients 15-34. 01-01-2010
Ruzhansky M and Turunen V (2010). Pseudo-Differential Operators and Symmetries, Background Analysis and Advanced Topics. 01-01-2010
2009
Ruzhansky M and Turunen V (2009). Quantization of Pseudo-differential Operators on the Torus. Journal of Fourier Analysis and Applications, Springer Nature vol. 16 (6), 943-982. 23-12-2009
Ruzhansky M and Turunen V (2009). On the Toroidal Quantization of Periodic Pseudo-Differential Operators. Numerical Functional Analysis and Optimization, Taylor & Francis vol. 30 (9-10), 1098-1124. 16-12-2009
Matsuyama T and Ruzhansky M (2009). Time decay for hyperbolic equations with homogeneous symbols. Comptes Rendus Mathématique, Cellule MathDoc/Centre Mersenne vol. 347 (15-16), 915-919. 02-07-2009
Ruzhansky M (2009). Pointwise van der Corput lemma for functions of several variables. Functional Analysis and Its Applications, Springer Nature vol. 43 (1), 75-77. 01-03-2009
2008
Ruzhansky M and Smith J (2008). Global time estimates for solutions to equations of dissipative type. Journées Équations aux dérivées partielles, Cellule MathDoc/Centre Mersenne, 1-29. 02-12-2008
2007
Ruzhansky M and Smith J (2007). Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients. 14-11-2007
MATSUYAMA T and RUZHANSKY M (2007). DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS. 01-06-2007
Kamotski I and Ruzhansky M (2007). Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities. Communications in Partial Differential Equations, Taylor & Francis vol. 32 (1), 1-35. 04-01-2007
2006
Ruzhansky M and Sugimoto M (2006). Smoothing estimates for evolution equations via canonical transforms and comparison. 11-12-2006
Ruzhansky M and Sugimoto M (2006). A smoothing property of Schrödinger equations in the critical case. Mathematische Annalen, Springer Nature vol. 335 (3), 645-673. 05-05-2006
Kamotski I and Ruzhansky M (2006). Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems. 01-01-2006
Ruzhansky M and Sugimoto M (2006). Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations. 01-01-2006
Ruzhansky M and Sugimoto M (2006). Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators. Communications in Partial Differential Equations, Taylor & Francis vol. 31 (4), 547-569. 01-01-2006
2005
Kamotski IV and Ruzhansky MV (2005). Estimates and Spectral Asymptotics for Systems with Multiplicities. Functional Analysis and Its Applications, Springer Nature vol. 39 (4), 308-310. 01-10-2005
Sugimoto M and Ruzhansky M (2005). A Smoothing Property of Schrödinger Equations and a Global Existence Result for Derivative Nonlinear Equations. Advances in Analysis. 01-07-2005
Камоцкий ИВ, Kamotskii IV, Ружанский МВ and Ruzhansky MV (2005). Оценки и спектральные асимптотики для систем с кратностью. Functional Analysis and Its Applications, Steklov Mathematical Institute vol. 39 (4), 78-80. 01-01-2005
2004
Ruzhansky M and Sugimoto M (2004). A New Proof of Global SmoothingEstimates for Dispersive Equations. 01-01-2004
2003
Ruzhanskii MV and Sugimoto M (2003). Global L2 estimates for a class of Fourier integral operators with symbols in Besov spaces. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 58 (5), 1044-1046. 31-10-2003
Ruzhansky M (2003). LP-distributions on symmetric spaces. Results in Mathematics, Springer Nature vol. 44 (1-2), 159-168. 01-08-2003
Ruzhansky M (2003). Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations. Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. 01-01-2003
Сугимото М, Sugimoto M, Ружанский МВ and Ruzhansky MV (2003). Глобальные оценки в $L^2$ для класса интегральных операторов Фурье с символами из пространств Бесова. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 58 (5), 201-202. 01-01-2003
2002
Pushnitski AB and Ruzhansky MV (2002). Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit. Functional Analysis and Its Applications, Springer Nature vol. 36 (3), 250-252. 01-07-2002
Ruzhansky M (2002). Sharp estimates for a class of hyperbolic pseudo-differential equations. Results in Mathematics, Springer Nature vol. 41 (3-4), 361-368. 01-05-2002
Pushnitski A and Ruzhansky M (2002). SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS. Communications in Partial Differential Equations, Taylor & Francis vol. 27 (7-8), 1373-1405. 07-01-2002
Пушницкий АБ, Pushnitskii AB, Ружанский МВ and Ruzhansky MV (2002). Функция спектрального сдвига оператора Шрeдингера в пределе большой константы связи. Functional Analysis and Its Applications, Steklov Mathematical Institute vol. 36 (3), 93-95. 01-01-2002
2001
Ruzhansky MV (2001). Regularity of the parametrix of a problem with oblique derivative. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 56 (6), 1179-1180. 31-12-2001
Ruzhansky M (2001). On the failure of the factorization condition for non-degenerate Fourier integral operators. Proceedings of the American Mathematical Society, American Mathematical Society (AMS) vol. 130 (5), 1371-1376. 12-10-2001
Ruzhansky M (2001). On uniform properties of doubling measures. Proceedings of the American Mathematical Society, American Mathematical Society (AMS) vol. 129 (11), 3413-3416. 03-05-2001
Ruzhansky MV (2001). Estimates for Fourier integral operators with complex-valued phase functions. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 56 (1), 174-175. 28-02-2001
Ruzhansky M (2001). Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases. 01-01-2001
Ружанский МВ and Ruzhansky MV (2001). Регулярность параметрикса задачи с косой производной. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 56 (6), 137-138. 01-01-2001
Ружанский МВ and Ruzhansky MV (2001). Оценки для интегральных операторов Фурье с комплекснозначными фазовыми функциями. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 56 (1), 177-178. 01-01-2001
2000
Ruzhansky MV (2000). On singularities of affine fibrations of certain types. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 55 (2), 353-354. 30-04-2000
Ruzhansky MV (2000). Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 55 (1), 93-161. 28-02-2000
Fomin V and Ruzhansky M (2000). Some results in abstract optimal linear filtering. Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187). 01-01-2000
Fomin VN and Ruzhansky MV (2000). Abstract Optimal Linear Filtering. SIAM Journal on Control and Optimization, Society for Industrial & Applied Mathematics (SIAM) vol. 38 (5), 1334-1352. 01-01-2000
Ружанский МВ and Ruzhansky MV (2000). Об особенностях аффинных слоений некоторых типов. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 55 (2), 149-150. 01-01-2000
Ружанский МВ and Ruzhansky MV (2000). Особенности аффинных слоений в теории регулярности интегральных операторов Фурье. Russian Mathematical Surveys, Steklov Mathematical Institute vol. 55 (1), 99-170. 01-01-2000
1999
RUZHANSKY M (1999). On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Mathematical Journal, Department of Mathematics, Hokkaido University vol. 28 (2), 357-362. 01-02-1999
Ruzhansky M (1999). Analytic Fourier integral operators, Monge-Ampère equation and holomorphic factorization. Archiv der Mathematik, Springer Nature vol. 72 (1), 68-76. 01-01-1999
Ruzhansky M (1999). Holomorphic Factorization for the Solution Operators for Hyperbolic Equations. Hyperbolic Problems: Theory, Numerics, Applications 803-811. 01-01-1999
1996
Gusev SV and Ruzhanski MV (1996). Design of minimum-time optimal motion of multisectional manipulator. JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL vol. 34 (5), 60-69. 01-01-1996
Grants
Grants of specific relevance to the Centre for Geometry, Analysis and GravitationHyperbolic problems with discontinuous coefficients-GRANT TRANSFERClaudia Garetto and Michael Ruzhansky
£543,258 EPSRC Engineering and Physical Sciences Research Council (20-03-2022 - 19-09-2025)
Regularity in affiliated von Neumann algebras - GRANT TRANSFERMichael Ruzhansky
£307,765 EPSRC Engineering and Physical Sciences Research Council (01-10-2018 - 31-12-2022)