R. S. Ismagilov, A. G. Kostyuchenko, “Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 14–20; Funct. Anal. Appl., 44:4 (2010), 253

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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 4, Pages 14–20
DOI: https://doi.org/10.4213/faa3011 (Mi faa3011)

This article is cited in 13 scientific papers (total in 13 papers)

Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction

R. S. Ismagilov^a, A. G. Kostyuchenko^b

^a N. E. Bauman Moscow State Technical University
^b M. V. Lomonosov Moscow State University

Full-text PDF (182 kB) Citations (13)

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DOI: https://doi.org/10.4213/faa3011

Abstract: For the Sturm–Liouville operator with point interaction, weak asymptotics of the discrete spectrum are found. A class of operators for which zero is the unique spectrum accumulation point is specified.

Keywords: point interaction, spectrum, asymptotics, alternating sequences.

Received: 12.05.2010

English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 4, Pages 253–258
DOI: https://doi.org/10.1007/s10688-010-0036-8

Bibliographic databases:

Document Type: Article

UDC: 517.98

Language: Russian

Citation: R. S. Ismagilov, A. G. Kostyuchenko, “Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 14–20; Funct. Anal. Appl., 44:4 (2010), 253–258

Citation in format AMSBIB

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https://doi.org/10.4213/faa3011

https://www.mathnet.ru/eng/faa/v44/i4/p14

This publication is cited in the following 13 articles:

Budyka V.S., Malamud M.M., “Deficiency Indices and Discreteness Property of Block Jacobi Matrices and Dirac Operators With Point Interactions”, J. Math. Anal. Appl., 506:1 (2022), 125582
Robert Fulsche, Medet Nursultanov, “Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev's function”, Journal of Mathematical Physics, 63:1 (2022)
Kritskov L.V., “Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution”, Differ. Equ., 53:2 (2017), 180–191
Aleksandra Yu. Ananieva, “1-D Schrödinger Operators with Local Interactions on a Discrete Set with Unbounded Potential”, J Math Sci, 220:5 (2017), 554
A. Yu. Anan'eva, “One-Dimensional Schrödinger Operator with Unbounded Potential and Point Interactions”, Math. Notes, 99:5 (2016), 769–773
Medet Nursultanov, “Spectral Properties of the Schrödinger Operator with $\delta$ -Distribution”, Math. Notes, 100:2 (2016), 263–275
A. Kostenko, M. Malamud, “Spectral theory of semibounded Schródinger operators with $\delta'$ -interactions”, Ann. Henri Poincare, 15:3 (2014), 501–541
Carlone R., Malamud M., Posilicano A., “On the Spectral Theory of Gesztesy-Seba Realizations of 1-D Dirac Operators with Point Interactions on a Discrete Set”, J. Differ. Equ., 254:9 (2013), 3835–3902
Golovaty Yu., “1D Schrodinger Operators with Short Range Interactions: Two-Scale Regularization of Distributional Potentials”, Integr. Equ. Oper. Theory, 75:3 (2013), 341–362
Golovaty Yu.D., Hryniv R.O., “Norm resolvent convergence of singularly scaled Schrödinger operators and $\delta'$ -potentials”, Proc. R. Soc. Edinb. Sect. A-Math., 143:4 (2013), 791–816
Albeverio S., Kostenko A., Malamud M., Neidhardt H., “Spherical Schrodinger Operators with Delta-Type Interactions”, J. Math. Phys., 54:5 (2013), 052103
Markov V.G., “Nekotorye svoistva neznakoopredelennykh operatorov Shturma-Liuvillya”, Matematicheskie zametki YaGU, 19:1 (2012), 44–59
V.A. Derkach, S. Hassi, M.M. Malamud, H.S.V. de Snoo, Operator Methods for Boundary Value Problems, 2012, 161

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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