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Matematicheskie Zametki, 2016, Volume 100, Issue 2, Pages 256–269
DOI: https://doi.org/10.4213/mzm10543 (Mi mzm10543) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Spectral Properties of the Schrödinger Operator with $\delta$-Distribution

Medet Nursultanovab

a Chalmers University of Technology, Sweden
b University of Gothenburg, Sweden
Full-text PDF (546 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10543
Abstract: For the one-dimensional Schrödinger operator with $\delta$-interactions, two-sided estimates of the distribution function of the eigenvalues and a criterion for the discreteness of the spectrum in terms of the Otelbaev function are obtained. A criterion for the resolvent of the Schrödinger operator to belong to the class $\mathfrak S_p$ is established.
Keywords: Schrödinger operator, semiboundedness below of the distribution functions of eigenvalues, discreteness of the spectrum of the Schrödinger operator, point interactions.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 4080/ГФ-4
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (grant no. 4080/GF-4).
Received: 21.07.2014
Revised: 03.01.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 263–275
DOI: https://doi.org/10.1134/S000143461607021X
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Medet Nursultanov, “Spectral Properties of the Schrödinger Operator with $\delta$-Distribution”, Mat. Zametki, 100:2 (2016), 256–269; Math. Notes, 100:2 (2016), 263–275
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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