Article

Filonov, N., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Polterovich, I. and Sher, D. A. (2024) Uniform enclosures for the phase and zeros of Bessel functions and their derivatives. SIAM Journal on Mathematical Analysis (SIMA), 56 (6). pp. 7644-7682. ISSN 1095-7154 doi: https://doi.org/10.1137/24M1642032

Filonov, N., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Polterovich, I. and Sher, D. A. (2024) Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. Journal of Spectral Theory, 14 (2). pp. 597-618. ISSN 1664-0403 doi: https://doi.org/10.4171/JST/506

Filonov, N., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Polterovich, I. and Sher, D. A. (2023) Pólya's conjecture for Euclidean balls. Inventiones Mathematicae, 234 (1). pp. 129-169. ISSN 1432-1297 doi: https://doi.org/10.1007/s00222-023-01198-1

Capoferri, M., Friedlander, L., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2023) Two-term spectral asymptotics in linear elasticity. Journal of Geometric Analysis, 33 (8). 242. ISSN 1050-6926 doi: https://doi.org/10.1007/s12220-023-01269-y

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Parnovski, L., Polterovich, I. and Sher, D. A. (2022) Sloshing, Steklov and corners: asymptotics of Steklov eigenvalues for curvilinear polygons. Proceedings of the London Mathematical Society, 125 (3). pp. 359-487. ISSN 1460-244X doi: https://doi.org/10.1112/plms.12461

Girouard, A., Karpukhin, M., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Polterovich, I. (2022) The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. Journal of Spectral Theory, 12 (1). pp. 195-225. ISSN 1664-0403 doi: https://doi.org/10.4171/JST/399

Capoferri, M., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2022) Geometric wave propagator on Riemannian manifolds. Communications in Analysis and Geometry, 30 (8). pp. 1713-1777. ISSN 1944-9992 doi: https://doi.org/10.4310/CAG.2022.v30.n8.a2

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Parnovski, L., Polterovich, I. and Sher, D. A. (2021) Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues. Journal d'Analyse Mathématique. ISSN 0021-7670 doi: https://doi.org/10.1007/s11854-021-0188-x

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Strohmaier, A. (2021) Computations of eigenvalues and resonances on perturbed hyperbolic surfaces with cusps. International Mathematics Research Notices, 2021 (6). pp. 4003-4050. ISSN 1687-0247 doi: https://doi.org/10.1093/imrn/rnz157

Krymski, S., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Parnovski, L., Polterovich, I. and Sher, D. A. (2021) Inverse Steklov spectral problem for curvilinear polygons. International Mathematics Research Notices, 2021 (1). pp. 1-37. ISSN 1687-0247 doi: https://doi.org/10.1093/imrn/rnaa200

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Monk, P. and Selgas, V. (2021) Impedance eigenvalues in linear elasticity. SIAM Journal on Applied Mathematics (SIAP), 81 (6). pp. 2433-2456. ISSN 0036-1399 doi: https://doi.org/10.1137/21M1412955

Fang, Y.-L., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2018) Spectral analysis of the Dirac operator on a 3-sphere. Operators and Matrices, 12 (2). pp. 501-527. ISSN 1848-9974 doi: https://doi.org/10.7153/oam-2018-12-31

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Seri, M. (2016) Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential. Operators and Matrices, 10 (1). pp. 223-245. ISSN 1848-9974 doi: https://doi.org/10.7153/oam-10-14

Gower, A. R., Hassannezhad, A., Jakobson, D. and Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 (2016) Zero and negative eigenvalues of the conformal Laplacian. Journal of Spectral Theory, 6 (4). pp. 793-806. ISSN 1664-0403 doi: https://doi.org/10.4171/JST/142

Davies, E. B. and Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 (2014) Spectra of a class of non-self-adjoint matrices. Linear Algebra and its Applications, 448. pp. 55-84. ISSN 0024-3795 doi: https://doi.org/10.1016/j.laa.2014.01.025

Elton, D. M., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Polterovich, I. (2013) Eigenvalues of a one-dimensional Dirac operator pencil. Annales Henri Poincaré, 15 (12). pp. 2321-2377. ISSN 1424-0661 doi: https://doi.org/10.1007/s00023-013-0304-2

Downes, R. J., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2013) Spectral asymmetry of the massless Dirac operator on a 3-torus. Journal of Mathematical Physics, 54 (11). 111503. ISSN 0022-2488 doi: https://doi.org/10.1063/1.4828858

Boulton, L., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Marletta, M. (2010) On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities. Journal of Differential Equations, 249 (12). pp. 3081-3098. ISSN 0022-0396 doi: https://doi.org/10.1016/j.jde.2010.08.010

Benguria, R., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Parnovski, L. (2009) Fourier transform, null variety, and Laplacian's eigenvalues. Journal of Functional Analysis, 257 (7). pp. 2088-2123. ISSN 0022-1236 doi: https://doi.org/10.1016/j.jfa.2009.06.022

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Parnovski, L. (2008) On the principal eigenvalue of a Robin problem with a large parameter. Mathematische Nachrichten, 281 (2). pp. 272-281. ISSN 0025-584X doi: https://doi.org/10.1002/mana.200510600

Marletta, M. and Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 (2008) A simple method of calculating eigenvalues and resonances in domains with infinite regular ends. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 138 (5). pp. 1043-1065. ISSN 0308-2105 doi: https://doi.org/10.1017/S0308210506001144

Book or Report Section

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Ozturk, H. (2018) A two-parameter eigenvalue problem for a class of block-operator matrices. In: Böttcher, A., Potts, D., Stollmann, P. and Wenzel, D. (eds.) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268). Springer, Basel, pp. 367-380. ISBN 9783319759951 doi: https://doi.org/10.1007/978-3-319-75996-8_19

Boulton, L., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Marletta, M. (2010) On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum. In: Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences (231). American Mathematical Society, Providence, RI, pp. 59-66. ISBN 9780821852729

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Sobolev, A. and Sobolev, D. (2010) On the near periodicity of eigenvalues of Toeplitz matrices. In: Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences (231). American Mathematical Society, Providence, RI, pp. 115-126. ISBN 9780821852729

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D. (2010) Victor Borisovich Lidskii (1924-2008). In: Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences (231). Amrican Mathematical Society, Providence, RI, pp. 1-6. ISBN 9780821852729

Book

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Mangoubi, D. and Polterovich, I. (2023) Topics in spectral geometry. Graduate Studies in Mathematics, 237. American Mathematical Society, pp325. ISBN 9781470475253

Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 and Vassiliev, D., eds. (2010) Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences, 231. American Mathematical Society, Providence, RI, pp180. ISBN 9780821852729