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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 1063–1066 (Mi smj1231)  
This article is cited in 4 scientific papers (total in 4 papers)

On the integral operators of the third kind

V. B. Korotkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (144 kB) Citations (4)
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Abstract: We establish some necessary and sufficient conditions for an operator in the space of square summable functions to be representable as a sum of multiplication by a bounded function and an integral operator.
Keywords: multiplication by a function, integral operator, kernel of an integral operator, integral operator of the third kind.
Received: 27.09.2002
Revised: 25.06.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 829–832
DOI: https://doi.org/10.1023/A:1025988803932
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: V. B. Korotkov, “On the integral operators of the third kind”, Sibirsk. Mat. Zh., 44:5 (2003), 1063–1066; Siberian Math. J., 44:5 (2003), 829–832
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\issue 5
\pages 829--832
\crossref{https://doi.org/10.1023/A:1025988803932}
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  • https://www.mathnet.ru/eng/smj/v44/i5/p1063
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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