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Sbornik: Mathematics, 2010, Volume 201, Issue 8, Pages 1121–1134
DOI: https://doi.org/10.1070/SM2010v201n08ABEH004106 (Mi sm7559) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Spectral asymptotics and the regularized trace of a singular integral operator

M. R. Dostanic

University of Belgrade
English version PDF (256 kB) Citations (1) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2010v201n08ABEH004106
Abstract: We give more precise asymptotic behaviour of the spectrum of a singular integro-differential operator and find the regularized trace of its inverse operator.
Bibliography: 12 titles.
Keywords: Prandtl's equation, singular values, eigenvalues, regularized trace.
Received: 17.03.2009
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: Primary 45C05, 45J05; Secondary 35Q72
Language: English
Original paper language: Russian
Citation: M. R. Dostanic, “Spectral asymptotics and the regularized trace of a singular integral operator”, Sb. Math., 201:8 (2010), 1121–1134
Citation in format AMSBIB
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\by M.~R.~Dostanic
\paper Spectral asymptotics and the regularized trace of a~singular integral operator
\jour Sb. Math.
\yr 2010
\vol 201
\issue 8
\pages 1121--1134
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\crossref{https://doi.org/10.1070/SM2010v201n08ABEH004106}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010SbMat.201.1121D}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77958572467}
Linking options:
  • https://www.mathnet.ru/eng/sm7559
  • https://doi.org/10.1070/SM2010v201n08ABEH004106
  • https://www.mathnet.ru/eng/sm/v201/i8/p31
    • This publication is cited in the following 1 articles:
    1. M. R. Dostanić, “Regularized trace of the operator of Riesz potential type on bounded domain in C”, Adv. Math., 272 (2015), 330–349  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1233
    Russian version PDF:269
    English version PDF:23
    References:107
    First page:20
     
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