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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 3, Pages 417–424
DOI: https://doi.org/10.1070/SM1974v023n03ABEH002181 (Mi sm3691) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic behavior of the spectrum of integral operators with a singularity on the diagonal

G. P. Kostometov
English version PDF (404 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/SM1974v023n03ABEH002181
Abstract: In this paper the asymptotic behavior is studied of the spectrum of “weighted” integral operators of the form
$$ (\mathbf Tu)(y)=\int_{\mathbf R^m}b(y)T(x,y)\overline a(x)u(x)\,dx, $$
acting in the space $L_2(\mathbf R^m)$.
Bibliography: 10 titles.
Received: 15.11.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 94(136), Number 3(7), Pages 444–451
Bibliographic databases:
UDC: 517.43
MSC: 47G05, 47A10
Language: English
Original paper language: Russian
Citation: G. P. Kostometov, “Asymptotic behavior of the spectrum of integral operators with a singularity on the diagonal”, Math. USSR-Sb., 23:3 (1974), 417–424
Citation in format AMSBIB
\Bibitem{Kos74}
\by G.~P.~Kostometov
\paper Asymptotic behavior of the spectrum of integral operators with a~singularity on the diagonal
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 3
\pages 417--424
\mathnet{http://mi.mathnet.ru//eng/sm3691}
\crossref{https://doi.org/10.1070/SM1974v023n03ABEH002181}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=361935}
\zmath{https://zbmath.org/?q=an:0322.47028}
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  • https://doi.org/10.1070/SM1974v023n03ABEH002181
  • https://www.mathnet.ru/eng/sm/v136/i3/p444
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:268
    Russian version PDF:102
    English version PDF:11
    References:62
    First page:1
     
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