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Mathematics of the USSR-Sbornik, 1970, Volume 11, Issue 3, Pages 441–457
DOI: https://doi.org/10.1070/SM1970v011n03ABEH002059 (Mi sm3462) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Convolution equations in a halfspace

A. I. Shnirel'man
English version PDF (633 kB) Citations (1)
References:
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DOI: https://doi.org/10.1070/SM1970v011n03ABEH002059
Abstract: In this paper a necessary and sufficient condition is found for a function $\widetilde A(\xi)$ to have a factorization such that both factors are bounded from above and from below by power functions; an easily verifiable sufficient condition is also given. Further, the limits of validity of the Wiener–Hopf method are shown for equations in a halfspace with kernel depending on the difference of the arguments.
Bibliography: 14 titles.
Received: 13.10.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 82(124), Number 3(7), Pages 476–493
Bibliographic databases:
UDC: 517.948
MSC: 45E10, 47A68, 45E05, 42B10
Language: English
Original paper language: Russian
Citation: A. I. Shnirel'man, “Convolution equations in a halfspace”, Mat. Sb. (N.S.), 82(124):3(7) (1970), 476–493; Math. USSR-Sb., 11:3 (1970), 441–457
Citation in format AMSBIB
\Bibitem{Shn70}
\by A.~I.~Shnirel'man
\paper Convolution equations in a~halfspace
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 82(124)
\issue 3(7)
\pages 476--493
\mathnet{http://mi.mathnet.ru/sm3462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=268730}
\zmath{https://zbmath.org/?q=an:0205.40601|0216.15302}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 11
\issue 3
\pages 441--457
\crossref{https://doi.org/10.1070/SM1970v011n03ABEH002059}
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  • https://www.mathnet.ru/eng/sm/v124/i3/p476
    • This publication is cited in the following 1 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:396
    Russian version PDF:121
    English version PDF:15
    References:75
     
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