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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 3, Pages 731–744
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001106
(Mi im2035)
 

This article is cited in 3 scientific papers (total in 3 papers)

On a class of integral equations of convolution type and its applications

N. K. Karapetyants, S. G. Samko
References:
Abstract: Operators of convolution type with variable coefficients are investigated in spaces of series $E$ commonly employed for such operators and supplemented by the spaces $M_0^{\sup}$, $M_0^{\mathrm{mes}}$, $M^{\sup}$, $M^{\mathrm{mes}}$ of bounded measurable functions. The properties of these new spaces are investigated. Conditions insuring that operators are of the Noether type are investigated and the index of operators with coefficients from these spaces are calculated. A theorem asserting the coincidence of zeros in these spaces is stated. The results are applied to investigate conditions for integral equations with homogeneous kernels to be of Noether type. For the last class the structure of zeros is clarified in the case of constant coefficients.
Received: 19.02.1970
Bibliographic databases:
UDC: 517.9
MSC: 45E10
Language: English
Original paper language: Russian
Citation: N. K. Karapetyants, S. G. Samko, “On a class of integral equations of convolution type and its applications”, Math. USSR-Izv., 5:3 (1971), 731–744
Citation in format AMSBIB
\Bibitem{KarSam71}
\by N.~K.~Karapetyants, S.~G.~Samko
\paper On a~class of integral equations of convolution type and its applications
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 3
\pages 731--744
\mathnet{http://mi.mathnet.ru//eng/im2035}
\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=285937}
\zmath{https://zbmath.org/?q=an:0213.38801}
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  • https://doi.org/10.1070/IM1971v005n03ABEH001106
  • https://www.mathnet.ru/eng/im/v35/i3/p714
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:531
    Russian version PDF:148
    English version PDF:10
    References:80
    First page:4
     
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