Weyl-Titchmarsh type formula for discrete Schrödinger operator with Wigner-von Neumann potential J Janas, S Simonov Studia Math. 201 (2), 167-189, 2010 | 28 | 2010 |
Zeroes of the spectral density of the periodic Schroedinger operator with Wigner-von Neumann potential S Naboko, S Simonov Arxiv preprint arXiv:1102.5207, 2011 | 26 | 2011 |
Spectral analysis of a class of hermitian Jacobi matrices in a critical(double root) hyperbolic case S Naboko, S Simonov Proc. Edinb. Math. Soc. (2) 53 (1), 239-254, 2010 | 24 | 2010 |
An example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weights S Simonov Oper. Theory Adv. Appl. 174, 187-204, 2007 | 23 | 2007 |
Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential S Simonov Integral Equations and Operator Theory 73 (3), 351-364, 2012 | 16 | 2012 |
Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner–von Neumann potential S Simonov Mathematische Zeitschrift 284, 335-411, 2016 | 15 | 2016 |
Wave model of the Sturm–Liouville operator on the half-line M Belishev, S Simonov St. Petersburg Mathematical Journal 29 (2), 227-248, 2018 | 14 | 2018 |
Weyl-Titchmarsh type formula for periodic Schrödinger operator with Wigner-von Neumann potential P Kurasov, S Simonov Arxiv preprint arXiv:1102.5213, 2011 | 13 | 2011 |
Spectral analysis of the half-line Kronig–Penney model with Wigner–Von Neumann perturbations V Lotoreichik, S Simonov Reports on Mathematical Physics 74 (1), 45-72, 2014 | 12 | 2014 |
On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time AS Mikhaylov, VS Mikhaylov, SA Simonov Mathematical Methods in the Applied Sciences 41 (16), 6401-6408, 2018 | 11 | 2018 |
Titchmarsh–Weyl formula for the spectral density of a class of Jacobi matrices in the critical case SN Naboko, SA Simonov Functional Analysis and Its Applications 55, 94-112, 2021 | 10 | 2021 |
Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with standard interface conditions S Simonov, H Woracek Integral Equations and Operator Theory 78, 523-575, 2014 | 10 | 2014 |
A wave model of metric spaces MI Belishev, SA Simonov Functional Analysis and Its Applications 53 (2), 79-85, 2019 | 9 | 2019 |
The wave model of a metric space with measure and an application MI Belishev, SA Simonov Matematicheskii Sbornik 211 (4), 44-62, 2020 | 5 | 2020 |
Wave model of the regular Sturm Liouville operator S Simonov 2017 Days on Diffraction (DD), 300-303, 2017 | 4 | 2017 |
Weyl-Titchmarsh type formula for Hermite operator with small perturbation S Simonov Opuscula Math. 29 (2), 187-207, 2009 | 4 | 2009 |
A canonical model of the one-dimensional dynamical Dirac system with boundary control. MI Belishev, SA Simonov Evolution Equations & Control Theory 11 (1), 2022 | 2 | 2022 |
On an evolutionary dynamical system of the first order with boundary control MI Belishev, SA Simonov Zapiski Nauchnykh Seminarov POMI 483, 41-54, 2019 | 2 | 2019 |
Wave model of the Sturm–Liouville operator on an interval SA Simonov Zapiski Nauchnykh Seminarov POMI 471, 225-260, 2018 | 2 | 2018 |
Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices S Naboko, S Simonov St. Petersburg Mathematical Journal 35 (1), 185-199, 2024 | 1 | 2024 |