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Matematicheskie Trudy, 2011, Volume 14, Number 1, Pages 195–211 (Mi mt212)  
This article is cited in 8 scientific papers (total in 8 papers)

On infinity of the discrete spectrum of operators in the Friedrichs model

Yu. Kh. Eshkabilov

National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (236 kB) Citations (8) English version article
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Abstract: The discrete spectrumof selfadjoint operators in the Friedrichs model is studied. Necessary and sufficient conditions of existence of infinitely many eigenvalues in the Friedrichs model are presented. A discrete spectrum of a model three-particle discrete Schrödinger operator is described.
Key words: Friedrichs model, spectrum, essential spectrum, discrete spectrum.
Received: 30.10.2009
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 1, Pages 1–12
DOI: https://doi.org/10.3103/S1055134412010014
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: Yu. Kh. Eshkabilov, “On infinity of the discrete spectrum of operators in the Friedrichs model”, Mat. Tr., 14:1 (2011), 195–211; Siberian Adv. Math., 22:1 (2012), 1–12
Citation in format AMSBIB
\Bibitem{Esh11}
\by Yu.~Kh.~Eshkabilov
\paper On infinity of the discrete spectrum of operators in the Friedrichs model
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 1
\pages 195--211
\mathnet{http://mi.mathnet.ru/mt212}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2858663}
\elib{https://elibrary.ru/item.asp?id=16441661}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 1
\pages 1--12
\crossref{https://doi.org/10.3103/S1055134412010014}
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  • https://www.mathnet.ru/eng/mt/v14/i1/p195
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:695
    Full-text PDF :173
    References:124
    First page:10
     
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