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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) Russian version article
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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
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”, 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 Math. USSR-Sb.
\yr 1970
\vol 11
\issue 3
\pages 441--457
\mathnet{http://mi.mathnet.ru//eng/sm3462}
\crossref{https://doi.org/10.1070/SM1970v011n03ABEH002059}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=268730}
\zmath{https://zbmath.org/?q=an:0205.40601|0216.15302}
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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
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