Publications

Books and Memoirs

  1. Ruzhansky, M. Regularity theory of Fourier integral operators with complex phases and singularities of affine fibrations, CWI Tracts, vol. 131, 2001. Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 2001. vi+130 pp. download  review Contents and introduction
  2. Ruzhansky M., Smith J., Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients, MSJ Memoirs, 22, Mathematical Society of Japan, Tokyo, 2010. x+147pp. slightly older version at arxiv; summary at World Scientific review
  3. Ruzhansky M., Turunen V., Pseudo-differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhauser, Basel, 2010. 724pp. Contents, description and samples, this book and time-frequency analysis, summary at Birkhauser review Bookmetrix
  4. Cruz-Uribe D., Fiorenza A., Ruzhansky M., Wirth J., Variable Lebesgue Spaces and Hyperbolic Systems, Advanced Courses in Mathematics – CRM Barcelona, Vol. 27, Birkhauser, 2014. Summary and link
  5. Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of  Ferran Sunyer I Balaguer Prize 2014
  6. NEW: Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, free download (open access book), the winner of  Ferran Sunyer I Balaguer Prize 2018
  7. Ruzhansky M., Sadybekov M., Suragan D., Spectral geometry of partial differential operators, CRC Press, to appear. link

Books Edited

  1. Ruzhansky M., Wirth J. (Eds.) Progress in Analysis and its Applications, Proceedings of the 7th International ISAAC Congress, Imperial College London, UK, 13-18 July 2009, World Scientific, 2010. 668pp. summary
  2. Ruzhansky M., Wirth J. (Eds.) Modern Aspects of the Theory of Partial Differential Equations, Operator Theory: Advances and Applications, Vol. 216, Birkhauser, Basel, 2011. 367pp. summary
  3. Ruzhansky M., Sugimoto M., Wirth J. (Eds.) Evolution Equations of Hyperbolic and Schrodinger Type: Asymptotics, Estimates and Nonlinearities, Progress in Mathematics, Vol. 301, Birkhauser, 2012. 330pp. summary
  4. Reissig M., Ruzhansky M. (Eds.) Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posedness, Springer Proceedings in Mathematics & Statistics, Vol. 44, Springer, 2013. 447pp. summary
  5. Ruzhansky M., Turunen V. (Eds.) Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations, Trends in Mathematics, Birkhauser, 2014. 415pp. summary
  6. Edited thematic issue: Damanik D., Ruzhansky M., Vougalter V., Wong M.W. (Eds) Spectral problems, Mathematical Modelling of Natural Phenomena, Vol. 9, No. 5, 2014. link
  7. Mityushev V., Ruzhansky M. (Eds.) Analytic Methods in Interdisciplinary Applications, Springer Proceedings in Mathematics & Statistics, Vol. 116, Springer, 2015. 181pp. summary
  8. Mityushev V., Ruzhansky M. (Eds.) Current Trends in Analysis and its Applications, Proceedings of the 9th ISAAC Congress, Krakow 2013, Trends in Mathematics, Research Perspectives, Birkhauser, 2015. 892pp. summary
  9. Edited thematic issue: Berdyshev A., Kalimoldayev M., Ruzhansky M. (Eds.), Mathematical modelling in applied sciences, De Gruyter Open Topical Issue, Open Engineering 2016. link, preface
  10. Ruzhansky M., Tikhonov S. (Eds.) Methods of Fourier Analysis and Approximation Theory, Applied and Numerical Harmonic Analysis, Birkhauser, 2016. 226pp. summary
  11. Edited thematic issue: Ruzhansky M., Agarwal P., Area I., Karimov E. T. (Eds) Special functions and analysis of PDEs, Mathematical Modelling of Natural Phenomena, Vol. 12, No. 3, 2017. link, preface
  12. Ruzhansky M., Cho Y., Agarwal P., Area I. (Eds.) Advances in Real and Complex Analysis with Applications, Trends in Mathematics, Birkhauser, 2017. viii+301pp. link
  13. Kalmenov T., Nursultanov E., Ruzhansky M., Sadybekov M. (Eds.) Functional Analysis in Interdisciplinary Applications, Springer Proceedings in Mathematics & Statistics, Vol. 216, Springer, 2017. xxix+456pp. link
  14. Agarwal R., Dutta H., Ruzhansky M. (Eds.) Mathematical Analysis and Applications: Selected Topics, Wiley, 2018. 768pp. link, doi link
  15. Ruzhansky M., Dutta H. (Eds.) Advanced Topics in Mathematical Analysis, CRC Press, Taylor & Francis, 2018. 588pp. link
  16. NEW: Delgado J., Ruzhansky M. (Eds.) Analysis and Partial Differential Equations: Perspectives from Developing Countries, Springer Proceedings in Mathematics & Statistics, Vol. 275, Springer, 2019. xii+269pp. link, doi link
  17. Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Springer, 2019, to appear

 

Publications

  1. Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulations. Appl. Math. E-Notes, to appear
  2. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. arxiv
  3. Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. arxiv
  4. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. arxiv
  5. Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. arxiv
  6. Ruzhansky M., Tokmagambetov N., Torebek B., The inverse source problem for the diffusion and subdiffusion equations for positive operators, and for hypoelliptic diffusions and subdiffusions. arxiv
  7. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. arxiv
  8. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
  9. Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. arxiv
  10. Ruzhansky M., Tokmagambetov N., Torebek B., On a non-local problem for a multi-term fractional diffusion-wave equation. arxiv
  11. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. arxiv
  12. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. arxiv
  13. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. arxiv
  14. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. arxiv
  15. Ruzhansky M., Yessirkegenov N., Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. arxiv
  16. Avetisyan Zh., Grigoryan M., Ruzhansky M., Approximations in L1 with convergent Fourier series. arxiv
  17. Cardona D., Ruzhansky M., Hormander condition for pseudo-multipliers associated to the harmonic oscillator. arxiv
  18. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. arxiv
  19. Kassymov A., Ruzhansky M., Suragan D., Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems. arxiv
  20. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. arxiv
  21. Munoz J. C., Ruzhansky M., Tokmagambetov N.,  Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., to appear.
  22. Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces, arxiv
  23. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups, arxiv
  24. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities, arxiv
  25. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians, and horizontal Hardy inequalities for multiple singularities and multi-particles on stratified groups, Banach Journal of Mathematical Analysis, to appear. arxiv
  26. Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing  functions, Proc. Roy. Soc. Edinburgh Sect. A, to appear. arxiv, link
  27. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature, arxiv
  28. Ruzhansky M., Yessirkegenov N., Critical Sobolev, Gagliardo-Nirenberg, Trudinger and Brezis-Gallouet-Wainger inequalities, best constants, and ground states on graded groups, arxiv
  29. Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operators, arxiv
  30. Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, Potential Analysis, to appear. arxiv, link
  31. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, to appear. arxiv
  32. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zn, arxiv
  33. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, arxiv
  34. Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., to appear. arxiv
  35. Ruzhansky M., Tokmagambetov N., Yessirkegenov N., Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations, arxiv
  36. Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation, Hokkaido Math. J., to appear.  arxiv
  37. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, arxiv
  38. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., to appear. arxiv
  39. Akylzhanov R., Ruzhansky M., Hausdorff-Young-Paley inequalities and Lp-Lq Fourier multipliers on locally compact groups, arxiv
  40. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., to appear. arxiv
  41. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, arxiv
  42. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link
  43. Huang J., Ruzhansky M., Feng H., Zheng L., Huang X., Wang H., Feature extraction for license plate location based on L0-norm smoothing. Open Comput. Sci. 2019; 9:28-135. link (open access) 
  44. Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655. arxiv
  45. Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49. arxiv, link (open access)
  46. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478. link, arxiv
  47. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468. link, arxiv, paper
  48. Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on compact Lie groups. J. Inst. Math. Jussieu, 18 (2019), 531–559. offprint (open access), arxiv, link
  49. Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields, NoDEA Nonlinear Differential Equations Appl., 26 (2019), no. 2, 26:13. link, arxiv
  50. Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp. link
  51. Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318. arxiv, link, offprint (open access),
  52. Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, Proc. R. Soc. A, 475 (2019), 20180310, 15pp. offprint, arxiv, link
  53. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian,  Appl. Comput. Math., 18 (2019), 69-78. arxiv
  54. Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl., 123 (2019), 127-147. offprint (open access), arxiv, link
  55. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904. arxiv, link
  56. Ruzhansky M., Sugimoto M., Global regularity properties for a class of Fourier integral operators, arxiv. The method has been substantially revised and extended to a much more general setting: arxiv, link
  57. Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2019. link
  58. Ruzhansky M., Sabitbek B., Suragan D., Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups, Rev. Mat. Complutense, 32 (2019), 19-35. enhanced pdf (open access), arxiv, link
  59. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349. arxiv, link
  60. Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness, Math. Ann., 372 (2018), 1597–1629. offprint (open access), arxiv, link
  61. Ruzhansky M., Suragan D., A note on stability of Hardy inequalities, Ann. Funct. Anal., 9 (2018), 451-462. arxiv, link
  62. Ruzhansky M., Suragan D., A comparison principle for nonlinear heat Rockland operators on graded groups, Bull. Lond. Math. Soc., 50 (2018), 753-758. enhanced pdf (open access), arxiv, link
  63. Ruzhansky M., Tokmagambetov N., Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. J. Differential Equations, 265 (2018), 5212-5236. offprint (open access), arxiv, link
  64. Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groups, Comm. Math. Phys., 362 (2018), 761-799. offprint (open access), link, arxiv
  65. Ruzhansky M., Tokmagambetov N., Convolution, Fourier analysis, and distributions generated by Riesz bases, Monatsh. Math., 187 (2018), 147-170. offprint (open access), arxiv, link
  66. Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access), arxiv, link
  67. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations, Trans. Amer. Math. Soc. Ser. B., 5 (2018), 81-101. offprint (open access), link, arxiv
  68. Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., 52 (2018), 158-161. link(eng), link (rus)
  69. Ruzhansky M., Tokmagambetov N., On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field, Math. Notes, 103 (2018), 856-858. link(rus), link(eng)
  70. Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces, Fract. Calc. Appl. Anal., 21 (2018), 577-612. arxiv, link
  71. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities, Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62. offprint (open access), link, arxiv
  72. Delgado J., Ruzhansky M., The bounded approximation property of variable Lebesgue spaces and nuclearity, Math. Scand., 122 (2018), 299-319. link, arxiv
  73. Ruzhansky M., Suragan D., Yessirkegenov N., Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups, Integral Equations Operator Theory, 90 (2018), no. 1, 90:10. enhanced pdf (open access), arxiv, link
  74. Delgado J., Ruzhansky M., Fourier multipliers in Hilbert spaces, in Integral Fourier Operators: Proceedings of a Summer School, Ouagadougou 14–25 September 2015 / Sylvie Paycha; Pierre Clavier (eds.). – Potsdam: Universitätsverlag Potsdam, 2018. link, arxiv, full volume
  75. Mantoiu M., Ruzhansky M., Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups, Doc. Math., 22 (2017), 1539-1592. offprint (open access), link, arxiv
  76. Ruzhansky M., Tokmagambetov N., Wave equation for operators with discrete spectrum and irregular propagation speed, Arch. Ration. Mech. Anal., 226 (2017), 1161-1207. offprint (open access), arxiv, link
  77. Fischer V., Ruzhansky M., Sobolev spaces on graded groups, Ann. Inst. Fourier (Grenoble), 67 (2017), 1671-1723. offprint (open access), arxiv, link
  78. Delgado J., Ruzhansky M., Schatten classes and traces on compact groups, Math. Res. Lett., 24 (2017), 979-1003. arxiv, link
  79. Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access), arxiv, link
  80. Akylzhanov R., Ruzhansky M., Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses, Eurasian Math. J., 8 (2017), 10-27. download, arxiv
  81. Kanguzhin B., Ruzhansky M., Tokmagambetov N., On convolutions in Hilbert spaces, Funct. Anal. Appl., 51 (2017), 221-224. link (eng)  link (rus)
  82. Garetto C., Ruzhansky M., On C∞ well-posedness of hyperbolic systems with multiplicities, Ann. Mat. Pura Appl., 196 (2017), 1819-1834. offprint (open access), arxiv, link
  83. Ruzhansky M., Suragan D., Anisotropic L2-weighted Hardy and L2-Caffarelli-Kohn-Nirenberg inequalities, Commun. Contemp. Math., 19 (2017), no. 6, 1750014, 12pp. offprint (open access), arxiv, link
  84. Ruzhansky M., Suragan D., Yessirkegenov N., Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups, NoDEA Nonlinear Differential Equations Appl, 24 (2017), no. 5, 24:56. offprint (open access), arxiv, link
  85. Ruzhansky M., Suragan D., Geometric maximizers of Schatten norms of some convolution type integral operators, J. Math. Anal. Appl., 456 (2017), 444-456. arXiv, link
  86. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities, C. R. Acad. Sci. Paris, 355 (2017), 694-698. offprint (open access), link
  87. Ruzhansky M., Suragan D., Uncertainty relations on nilpotent Lie groups, Proc. R. Soc. A, 473 (2017), no. 2201, 20170082, 12pp. offprint (open access), arxiv, link
  88. Matsuyama T., Ruzhansky M., Almost global well-posedness of Kirchhoff equation with Gevrey data, C. R. Acad. Sci. Paris, 355 (2017), 522-525. offprint (open access), link
  89. Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary, J. Math. Pures Appl.,107 (2017), 758-783. offprint (open access), arxiv, link
  90. Agarwal P., Karimov E., Mamchuev M., Ruzhansky M., On boundary-value problems for a partial differential equation with Caputo and Bessel operators, in Recent applications of harmonic analysis to function spaces, differential equations, and data science, 707-718, Appl. Numer. Harmon. Anal., Birkhauser/Springer, 2017.  arxiv, link
  91. Ruzhansky M., Suragan D., Isoperimetric inequalities for some integral operators arising in potential theory, in Functional Analysis in Interdisciplinary Applications. FAIA 2017, 320-329, Springer Proceedings in Mathematics & Statistics, vol 216, Springer, 2017. arxiv, link
  92. Ruzhansky M., Suragan D., Local Hardy and Rellich inequalities for sums of squares of vector fields, Adv. Diff. Equations, 22 (2017), 505-540. arxiv, link
  93. Matsuyama T., Ruzhansky M., The Kirchhoff equation with Gevrey data, in: Dang P., Ku M., Qian T., Rodino L. (eds), New Trends in Analysis and Interdisciplinary Applications. pp. 313-318, Trends in Mathematics. Birkhauser, 2017. link
  94. Cardona D., Ruzhansky M., Multipliers for Besov spaces on graded Lie groups, C. R. Acad. Sci. Paris, 355 (2017), 400-405. offprint (open access), link
  95. Garofalo N., Ruzhansky M., Suragan D., On Green functions for Dirichlet sub-Laplacians on H-type groups, J. Math. Anal. Appl., 452 (2017), 896-905. offprint (open access), link, arxiv
  96. Ruzhansky M., Tokmagambetov N., Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field, Lett. Math. Phys., 107 (2017), 591-618. offprint (open access), arxiv, link
  97. Ruzhansky M., Suragan D., Layer potentials, Green formulae, Kac problem, and refined Hardy inequality on homogeneous Carnot groups, Adv. Math., 308 (2017), 483-528. offprint (open access), arxiv, link
  98. Garetto C., Ruzhansky M., On hyperbolic systems with time dependent Holder characteristics, Ann. Mat. Pura Appl., 196 (2017), 155-164. offprint (open access), arxiv, link
  99. Ruzhansky M., Suragan D., On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups, J. Differential Equations, 262 (2017), 1799-1821. offprint (open access), arxiv, link
  100. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom., 12 (2017), 115-140. arxiv, link
  101. Delgado J., Ruzhansky M., Wang B., Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces, J. Spectr. Theory, 6 (2016), 781-791. arxiv, link
  102. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Trans. Amer. Math. Soc., 368 (2016), 8481-8498. arxiv, link
  103. Delgado J., Ruzhansky M., Wang B., Approximation property and nuclearity on mixed-norm Lp, modulation and Wiener amalgam spaces, J. Lond. Math. Soc., 94 (2016), 391-408. offprint (open access), arxiv, link
  104. Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds, Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), 981-1017. arxiv, link
  105. Ruzhansky M., Agarwal P., Area I., Karimov E. T., Preface for the special issue on “Special functions and analysis of PDEs”. Math. Model. Nat. Phenom., 12 (2017), 1-3. link
  106. Ruzhansky M., Tikhonov S., Some problems in Fourier analysis and approximation theory. Methods of Fourier analysis and approximation theory, 1-19, Appl. Numer. Harmon. Anal., Birkhauser/Springer, 2016. link
  107. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood inequalities and Fourier multipliers on SU(2), Studia Math., 234 (2016), 1-29. offprint, arxiv, link
  108. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood-Paley type inequalities on compact Lie groups, Math. Notes, 100 (2016), 287-290. link1, link2
  109. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access), arxiv, link
  110. Akylzhanov R., Ruzhansky M., Fourier multipliers and group von Neumann algebras, C. R. Acad. Sci. Paris, 354 (2016), 766-770. offprint (open access), arxiv, link
  111. Ruzhansky M., Suragan D., On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries, Bull. Math. Sci., 6 (2016), 325-334. offprint (open access), arxiv, link
  112. Ruzhansky M., Sugimoto M., Smoothing estimates for non-dispersive equations. Math. Ann., 365 (2016), 241-269. offprint (open access), arxiv, link
  113. Rozenblum G., Ruzhansky M., Suragan D., Isoperimetric inequalities for Schatten norms of Riesz potentials, J. Funct. Anal., 271 (2016), 224-239. offprint (open access), arxiv, link
  114. Dasgupta A., Ruzhansky M., Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups, J. Anal. Math., 128 (2016), 179-190. offprint (open access), arxiv, link
  115. Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158. link
  116. Ruzhansky M., Suragan D., On Kac principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group, Proc. Amer. Math. Soc., 144 (2016), 709-721. arxiv, link
  117. Ruzhansky M., Wang B., Zhang H., Global well-posedness and scattering for the fourth order nonlinear Schrodinger equations with small data in modulation and Sobolev spaces, J. Math. Pures Appl., 105 (2016), 31-65. link
  118. Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl., 434 (2016), 1676-1689. offprint (open access), arxiv, link
  119. Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and functional classes on compact Lie groups, Funct. Anal. Appl., 49 (2015), 226-229. arxiv, link
  120. Ruzhansky M., Wirth J., Lp Fourier multipliers on compact Lie groups, Math. Z., 280 (2015), 621-642. offprint (open access), arxiv, link
  121. Garetto C., Ruzhansky M., Hyperbolic second order equations with non-regular time dependent coefficients, Arch. Ration. Mech. Anal., 217 (2015), 113-154. offprint (open access), arxiv, link
  122. Garetto C., Ruzhansky M., Wave equation for sums of squares on compact Lie groups, J. Differential Equations, 258 (2015), 4324-4347. offprint (open access), arxiv, link
  123. Ruzhansky M., Sugimoto M., On global inversion of homogeneous maps, Bull. Math. Sci., 5 (2015), 13-18. offprint (open access), arxiv, link
  124. Ruzhansky M., Sugimoto M., Trace theorems: critical cases and best constants, Proc. Amer. Math. Soc., 143 (2015), 227-237. arxiv, link
  125. Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes and nuclearity of boundary value problems, only on arxiv (extended to manifolds with boundary here)
  126. Matsuyama T., Ruzhansky M., Global well-posedness of the Kirchhoff equation and Kirchhoff systems, in Analytic Methods in Interdisciplinary Applications, pp. 81-96, Springer Proceedings in Mathematics & Statistics, Vol. 116, 2015. arxiv, link
  127. Ruzhansky M., Wirth J., Asymptotic behaviour of solutions to hyperbolic partial differential equations, Variable Lebesgue spaces and hyperbolic systems, 91-169, Adv. Courses Math. CRM Barcelona, Birkhauser/Springer, Basel, 2014. arxiv, link
  128. Delgado J., Ruzhansky M., Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds, C. R. Acad. Sci. Paris, Ser. I 352 (2014), 779-784. offprint (open access), arxiv, link
  129. Dasgupta A., Ruzhansky M., Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Bull. Sci. Math., 138 (2014), 756-782. offprint (open access), arxiv, link
  130. Delgado J., Ruzhansky M., Schatten classes on compact manifolds: Kernel conditions, J. Funct. Anal., 267 (2014), 772-798. offprint (open access), arxiv, link
  131. Delgado J., Ruzhansky M., Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups, J. Math. Pures Appl., 102 (2014), 153-172. offprint (open access), arxiv, link
  132. Ruzhansky M., Wirth J., Global functional calculus for operators on compact Lie groups, J. Funct. Anal., 267 (2014), 144-172. arxiv, link
  133. Ruzhansky M., Turunen V., Wirth J., Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity, J. Fourier Anal. Appl., 20 (2014), 476-499. offprint (open access), arxiv, link
  134. Fischer V., Ruzhansky M., A pseudo-differential calculus on the Heisenberg group, C. R. Acad. Sci. Paris, Ser I, 352 (2014), 197-204. offprint (open access), arxiv, link
  135. Coriasco S., Ruzhansky M., Global Lp continuity of Fourier integral operators, Trans. Amer. Math. Soc., 366 (2014), 2575-2596. arxiv, link
  136. Fischer V., Ruzhansky M., A pseudo-differential calculus on graded nilpotent Lie groups, in Fourier Analysis, pp. 107-132, Trends in Mathematics, Birkhauser, 2014. arxiv, link
  137. Garetto C., Ruzhansky M., On weakly hyperbolic equations with analytic principal part, J. Math. Anal. Appl., 412 (2014), 1-14. offprint (open access), arxiv, link
  138. Garetto C., Ruzhansky M., Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Math. Ann., 357 (2013), 401-440.offprint (open access), arxiv, link
  139. Matsuyama T., Ruzhansky M., Global well-posedness of Kirchhoff systems, J. Math. Pures Appl., 100 (2013), 220-240. arxiv, link
  140. Matsuyama T., Ruzhansky M., Scattering for strictly hyperbolic systems with time-dependent coefficients, Math. Nachr., 286 (2013), 1191-1207. offprint (open access), arxiv, link
  141. Gramchev T., Ruzhansky M. Cauchy problem for some 2×2 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part. Studies in phase space analysis with applications to PDEs, 129-145, Progr. Nonlinear Differential Equations Appl., 84, Birkhauser/Springer, New York, 2013. link
  142. Ruzhansky M., An open problem in complex analytic geometry arising in harmonic analysis, Math. Model. Nat. Phenom., 8 (2013), 230-236. arxiv, link
  143. Ruzhansky M., Wirth J., On multipliers on compact Lie groups, Funct. Anal. Appl., 47 (2013), 72-75. arxiv, link
  144. Ruzhansky M., Sugimoto M., Recent progress in smoothing estimates for evolution equations, in Progress in Partial Differential Equations, pp. 287-302, Springer Proceedings in Mathematics & Statistics, Vol. 44, 2013.arxiv, link
  145. Fischer V., Ruzhansky M., Lower bounds for operators on graded Lie groups, C. R. Acad. Sci. Paris, Ser I, 351 (2013), 13-18. arxiv, link
  146. Ruzhansky M., Turunen V., Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere, Int. Math. Res. Not. IMRN 2013, no. 11, 2439-2496. arxiv, link
  147. Ruzhansky M., Sugimoto M., Structural resolvent estimates and derivative nonlinear Schrodinger equations, Comm. Math. Phys., 314 (2012), 281-304. arxiv, link
  148. Garetto C., Ruzhansky M., On the well-posedness of weakly hyperbolic equations with time dependent coefficients, J. Differential Equations, 253 (2012), 1317-1340. arxiv, link
  149. Ruzhansky M., Sugimoto M., Smoothing properties of inhomogeneous equations via canonical transforms, Rend. Sem. Mat. Univ. Politec. Torino, 70 (2012), 165-182. paper, arxiv, link
  150. Ruzhansky M., Sugimoto M., Wang B., Modulation spaces and nonlinear evolution equations, in Evolution Equations of Hyperbolic and Schrodinger Type, 267-283, Progress in Mathematics, Vol. 301, Birkhauser, 2012. arxiv, link
  151. Ruzhansky M., Multidimensional decay in van der Corput lemma, Studia Math., 208 (2012), 1-10. arxiv, link
  152. Ruzhansky M., Sugimoto M. Smoothing estimates of evolution equations via canonical transforms and comparison, Proc. London Math. Soc., 105 (2012), 393-423. older version on arxiv, link
  153. Ruzhansky M., Sugimoto M., Toft J., Tomita N., Changes of variables in modulation and Wiener amalgam spaces, Math. Nachr., 284 (2011), 2078-2092. arxiv, link
  154. Ruzhansky M., Wirth J., Dispersive type estimates for Fourier integrals and applications to hyperbolic systems, Disc. Cont. Dyn. Systems, Suppl. (2011), 1263-1270. arxiv, paper
  155. Ruzhansky M., Turunen V., Sharp Garding inequality on compact Lie groups, J. Funct. Anal., 260 (2011), 2881-2901.arxiv, link
  156. Ruzhansky M., Wirth J., Dispersive estimates for hyperbolic systems with time-dependent coefficients, J. Differential Equations, 251 (2011), 941-969. arxiv, link
  157. Ruzhansky M., Sugimoto M., Weighted Sobolev L2 estimates for a class of Fourier integral operators, Math. Nachr., 284 (2011), 1715-1738.arxiv, link
  158. Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982. arxiv, link
  159. Coriasco S., Ruzhansky M., On the boundedness of Fourier integral operators on Lp (Rn ), C. R. Acad. Sci. Paris, Ser I. 348 (2010), 847-851. link
  160. Ruzhansky M., Sugimoto M., Criteria for Bochners extension problem, Asymptotic Analysis, 66 (2010), 125-138. arxiv, link
  161. Matsuyama T., Ruzhansky M. Asymptotic integration and dispersion for hyperbolic equations, Adv. Diff. Equations, 15 (2010), 721-756. arxiv
  162. Ruzhansky M., Sugimoto, M., On the smoothing properties of dispersive partial differential equations. Harmonic analysis and nonlinear partial differential equations, 103-123, RIMS Kokyuroku Bessatsu B14, Res. Inst. Math. Sci. (RIMS), Kyoto, 2009. offprint, link
  163. Ruzhansky M., Turunen V., On the toroidal quantization of periodic pseudo-differential operators, Numerical Functional Analysis and Optimization, 30 (2009), 1098-1124.offprint, link
  164. Ruzhansky M. Pointwise van der Corput lemma for functions of several variables, Funct. Anal. Appl., 43 (2009), 75-77. link
  165. Matsuyama T., Ruzhansky M., Time decay for hyperbolic equations with homogeneous symbols, C. R. Acad. Sci. Paris, Ser I. 347 (2009), 915-919. link
  166. Ruzhansky M., Turunen V., On pseudo-differential operators on group SU(2), New developments in pseudo-differential operators, 307-322, Oper. Theory Adv. Appl., 189, Birkhauser, Basel, 2009. arxiv, link
  167. Ruzhansky M., On local and global regularity of Fourier integral operators, New developments in pseudo-differential operators, 185-200, Oper. Theory Adv. Appl., 189, Birkhauser, Basel, 2009. arxiv, link
  168. Ruzhansky M., Sugimoto M., Comparison of estimates for dispersive equations, Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13-18, 2007. Hackensack, NJ: World Scientific. 486-494 (2009). arxiv, link
  169. Ruzhansky M., Wirth J., Dispersive estimates for T-dependent hyperbolic systems, Rend. Sem. Mat. Univ. Pol. Torino, 66 (2008), 339-349. offprint, link. corrigendum: 68 (2010), 93.
  170. Ruzhansky M. Microlocal time decays for hyperbolic equations with lower order terms, Novi Sad J. Math, 38 (2008), 15-26.paper
  171. Ruzhansky M. On Strichartz estimates for hyperbolic equations with constant coefficients, RIMS Kokyuroku Bessatsu B10, 177-189 (2008). offprint, link
  172. Ruzhansky, M. On some questions in complex analysis related to the theory of hyperbolic PDEs. Complex analysis and its applications, 313-315, OCAMI Stud., 2, Osaka Munic. Univ. Press, Osaka, 2007.
  173. Matsuyama T., Ruzhansky M. Dispersion and asymptotic profiles for Kirchhoff equations, Topics in contemporary differential geometry, complex analysis and mathematical physics. 234-243, World Sci. Publ., Hackensack, NJ, 2007. arxiv, link
  174. Kamotski, I., Ruzhansky, M. Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities, Comm. Partial Differential Equations, 32 (2007), 1-35. link
  175. Ruzhansky, M., Turunen, V. On the Fourier analysis of operators on the torus, Modern trends in pseudo-differential operators, 87-105, Oper. Theory Adv. Appl., 172, Birkhauser, Basel, 2007. arxiv, link
  176. Ruzhansky, M. On some properties of Galerkin approximations of solutions to Fokker-Planck equations, in Proceedings of the 4thInternational Conference Analytical Methods in Analysis and Differential Equations (AMADE-2006), Vol.3, Differential Equations, Minsk: Institute of Mathematics of NAS of Belarus, 133-139, 2006.
  177. Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations in the critical case, Math. Ann., 335 (2006), 645-673. link
  178. Ruzhansky, M., Sugimoto, M. Global L2 boundedness theorems for a class of Fourier integral operators, Comm. Partial Differential Equations, 31 (2006), 547-569. offprint, link
  179. Ruzhansky, M., Sugimoto, M. Global boundedness theorems for Fourier integral operators associated with canonical transformations, Harmonic analysis and its applications, 65-75, Yokohama Publ., Yokohama, 2006.
  180. Ruzhansky, M., Sugimoto, M. Global calculus of Fourier integral operators, weighted estimates, and applications to global analysis of hyperbolic equations, 65-78, Oper. Theory Adv. Appl., 164, 2006. link
  181. Kamotski, I., Ruzhansky, M. Representation of solutions and regularity properties for weakly hyperbolic systems, 53-63, Oper. Theory Adv. Appl., 164, 2006. link
  182. Ruzhansky, M., Smith, J. Global time estimates for solutions to equations of dissipative types, Journees “Equations aux Derivees Partielles, Exp. No. XII, 29 pp., Ecole Polytech., Palaiseau, 2005. paper
  183. Kamotski, I., Ruzhansky, M. Estimates and spectral asymptotics for systems with multiplicities, Funct. Anal. Appl., 39 (2005), 308-310. offprint, link
  184. Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations and a global existence result for derivative nonlinear equations, in Advances in Analysis 315-320, World Sci. Publ., Hackensack, NJ, 2005.
  185. Ruzhansky, M., Sugimoto, M. Global smoothing estimates for dispersive equations with non-polynomial symbols. Finite or infinite dimensional complex analysis and applications, 283-290, Kyushu University Press, Fukuoka, 2005. paper
  186. Ruzhansky, M., Sugimoto, M. A new proof of global smoothing estimates for dispersive equations, Advances in pseudo-differential operators, 65–75, Oper. Theory Adv. Appl., 155, Birkhauser, Basel, 2004. link
  187. Ruzhansky, M., Sugimoto M. Decay and regularity for dispersive equations with non-polynomial symbols, Proceedings of Microlocal Analysis and Asymptotic Analysis, RIMS, Kyoto, 2004. offprint, link
  188. Ruzhansky M., Sugimoto M., Global L2 analysis of Fourier integral operators in Japanese, 2003.
  189. Ruzhansky, M., Sugimoto, M. Global L2 estimates for a class of Fourier integral operators with symbols in Besov spaces, Russian Math. Surv.,58 (2003), 1044-1046. link
  190. Ruzhansky, M. Lp-distributions on symmetric spaces, Result. Math., 44 (2003), 159-168. link
  191. Ruzhansky, M. Recent progress in the regularity theory of Fourier integral operators with real and complex phases and solutions to partial differential equations, Banach Center Publications, Vol. 60 (2003), 151-160. link
  192. Pushnitski, A., Ruzhansky, M. Spectral shift function of the Schrodinger operator in the large coupling constant limit, Funct. Anal. Appl., 36 (2002), 93-95. offprint, link
  193. Ruzhansky, M. Sharp estimates for a class of hyperbolic pseudo-differential operators, Results in Math., 41 (2002), 361-368. link
  194. Pushnitski, A., Ruzhansky, M. Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positive perturbations, Comm. Partial Differential Equations, 27 (2002), 1373-1405. link
  195. Ruzhansky, M. On the failure of the factorization condition for non-degenerate Fourier integral operators, Proc. Amer. Math. Soc., 130 (2002), 1371-1376. link
  196. Ruzhansky, M. V. Regularity of the parametrix of a problem with oblique derivative, Russ. Math. Surv., 56 (2001), 1179-1180. link
  197. Ruzhansky, M. On uniform properties of doubling measures, Proc. Amer. Math. Soc., 129 (2001), 3413-3416. link
  198. Ruzhansky, M. Estimates for pseudo-differential and hyperbolic differential equations via Fourier integrals with complex phases, In: Internat. Ser. Num. Math., Vol. 141 (2001), 831-840. link
  199. Ruzhansky, M. V. Estimates for Fourier integral operators with complex-valued phase functions, Russ. Math. Surv., 56 (2001), 174-175. link
  200. Ruzhansky, M. On singularities of affine fibrations of certain types, Russ. Math. Surv., 55 (2000), 353-354. link
  201. Fomin, V.N., Ruzhansky, M.V. Abstract optimal linear filtering. SIAM J. Control Optim, 38 (2000), 1334-1352.link
  202. Ruzhansky, M.V. Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russ. Math. Surv., 55 (2000), 93-161. link
  203. Ruzhansky, M. Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization. Arch. Mat., 72 (1999), 68-76. link
  204. Ruzhansky, M. On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Math. J., 28 (1999), 357-362. link, paper
  205. Ruzhansky, M. Holomorphic factorization for the solution operators for hyperbolic equations. In: Internat. Ser. Num. Math., Vol. 130 (1999), 803-811. link
  206. Ruzhansky, M. Singularities of affine fibrations. Tech.Rep. 1037, Dept.of Math., Utrecht Univ., 1997.
  207. Ruzhansky, M. Global elliptic estimates on symmetric spaces. Tech.Rep. 994, Dept.of Math., Utrecht Univ., 1997.
  208. Ruzhansky, M.V., Fomin, V.N. The optimal filter construction for a general quadratic cost functional. (Russian) Vestnik S.-Petersburg. Univ. Math. Mech. Astronom., Ser. 1, 4 (28), 1995, 50-55. (Transl. Vestnik St.Petersburg Univ. Math., 4 (28), 1996, 42-46).
  209. Gusev, S.V., Ruzhanski, M.V. Design of minimum time optimal motion of multisectional manipulator. (Russian) Izv. Ross. Akad. Nauk, Teor. sistemy upravlenia, 3, 1995, 190-199. (Transl. J. Comput. Systems Sci. Internat. 34 (1996), 5, 60-69). link
  210. Ruzhansky, M. On Lp estimates for the Laplacian on a class of symmetric spaces of noncompact type. Tech.Rep. 931, Dept.of Math., Utrecht Univ., 1995.
  211. Ruzhanskii, M.V. On the time optimal motion of the multilink manipulator. (Russian) Vestnik S.-Petersburg. Univ. Math. Mech. Astronom., Ser.1, 4 (26), 1993, 98-100. (Transl. Vestnik St.Petersburg Univ. Math., 4 (26), 1994, 61-64).
  212. Gusev, S.V., Ruzhansky, M.V. Optimal program motion construction for multilink manipulator. (Russian) Proc. of the 6th Int. Chetaev conference “Analytic Mechanics, Stability and Motion Control” (Kazan,Russia), 1992, 93-94.
  213. Ruzhansky, M.V. Time optimal motion construction for manipulator. Proc. of the 2nd conference on automatic control, St.Petersburg, 1992.

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