Schrödinger and Dirac operators, spectral theory of operators, Jacobi Matrices
Subject:
Spectral theory of operators
Main publications:
A.Yu. Ananieva, V.S. Budyika, “To the spectral theory of the Bessel operator on finite interval and half-line”, Journal of Mathematical Sciences, 211:5 (2015), 624-645
A.Yu. Ananieva, V.S. Budyika, “On the spectral theory of the Bessel operator on a finite interval and the half-line”, Differential Equations, 52:11 (2016), 1517-1522
V Budyika, M Malamud, A Posilicano, “Nonrelativistic limit for $2p\times 2p$.Dirac operators with point interactions on a discrete set”, Russian Journal of Mathematical Physics, 24:4 (2017), 426-435
V.S. Budyka, M.M. Malamud, A. Posilicano, “To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions”, Doklady Mathematics, 97:2 (2018), 115-121
V.S. Budyka, M.M. Malamud, “Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions”, Journal of Mathematical Analysis and Applications, 506:1 (2022)
V. S. Budyka, M. M. Malamud, I. L. Pokrovski, “Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions”, Mat. Zametki, 114:5 (2023), 789–795; Math. Notes, 114:5 (2023), 1060–1066
V. S. Budyka, M. M. Malamud, “On the Discreteness of the Spectrum of Matrix Schrödinger and Dirac Operators with Point Interactions”, Mat. Zametki, 110:6 (2021), 932–938; Math. Notes, 110:6 (2021), 960–966
V. S. Budyka, M. M. Malamud, “Self-Adjointness and Discreteness of the Spectrum of Block Jacobi Matrices”, Mat. Zametki, 108:3 (2020), 457–462; Math. Notes, 108:3 (2020), 445–450
V. S. Budyka, M. M. Malamud, “On the Deficiency Indices of Block Jacobi Matrices Related to Dirac Operators with Point Interactions”, Mat. Zametki, 106:6 (2019), 940–945; Math. Notes, 106:6 (2019), 1009–1014
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