References
M. G. Krein, Dokl. AN SSSR 69 (2), 125 (1949).
N. I. Akhiezer, The Classical Moment Problem and Some Related Topics in Analysis (Fizmatgiz, Moscow, 1961) [in Russian].
Yu. M. Berezanskii, Expansions in Eigenfunctions of Self-Adjoint Operators (Naukova Dumka, Kiev, 1965) [in Russian].
A. G. Kostyuchenko and K. A. Mirzoev, Math. Notes 63 (5), 624 (1998).
A. G. Kostyuchenko and K. A. Mirzoev, Funct. Anal. Appl. 35 (4), 265 (2001).
Yu. M. Dyukarev, Sb. Math. 201 (12), 1791 (2010).
K. A. Mirzoev and T. A. Safonova, Math. Notes 99 (2), 290 (2016).
I. N. Braeutigam and K. A. Mirzoev, St. Petersburg Math. J. 30 (4), 621 (2019).
A. S. Kostenko and M. M. Malamud, J. Differential Equations 249 (2), 253 (2010).
A. S. Kostenko and M. M. Malamud, Funktsional. Anal. i Prilozhen. 44 (2), 87 (2010).
A. S. Kostenko, M. M. Malamud, and D. D. Natyagailo, Math. Notes 100 (1), 49 (2016).
R. Carlone, M. Malamud and A. Posilicano, J. Differential Equations 254 (9), 3835 (2013).
V. S. Budyka, M. M. Malamud, and A. Posilicano, Dokl. Math. 97 (2), 115 (2018).
V. S. Budyka and M. M. Malamud, Math. Notes 106 (6), 1009 (2019).
V. Budyika, M. Malamud, and A. Posilicano, Russ. J. Math. Phys. 97 (4), 426 (2017).
T. Kato, Perturbation Theory for Linear Operators (Springer- Verlag, Heidelberg, 1966).
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2: Fourier Analysis and Self-Adjointness (Academic Press, New York, 1975).
P. Cojuhari and J. Janas, Acta Sci. Math. (Szeged) 73 (3-4), 649 (2007).
T. S. Chihara, Trans. Amer. Math. Soc. 104, 1 (1962).
C. S. Christ and G. Stolz, J. Math. Anal. Appl. 184 (3), 491 (1994).
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This research was supported by the Ministry of Science and Higher Education of the Russian Federation under contract no. 075-03-2020-223/3 (FSSF-2020-0018).
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Budyka, V.S., Malamud, M.M. Self-Adjointness and Discreteness of the Spectrum of Block Jacobi Matrices. Math Notes 108, 445–450 (2020). https://doi.org/10.1134/S000143462009014X
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DOI: https://doi.org/10.1134/S000143462009014X