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Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 1, Pages 75–86
DOI: https://doi.org/10.1070/SM1980v036n01ABEH001767 (Mi sm2264) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Tauberian theorems for generalized functions with supports in cones

Yu. N. Drozhzhinov, B. I. Zavialov
English version PDF (671 kB) Citations (16) Russian version article
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DOI: https://doi.org/10.1070/SM1980v036n01ABEH001767
Abstract: In this article the authors prove several multidimensional theorems of Tauberian type, connecting the behavior at infinity of generalized functions with support in a cone with the behavior of their Fourier–Laplace transforms in a neighborhood of zero. As corollaries they deduce a strengthened version of V. S. Vladimirov's Tauberian theorem and an analog of the theorem of Lindelöf for the edge of a tube domain over a cone.
Bibliography: 5 titles.
Received: 06.03.1978
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 46F12; Secondary 46F20
Language: English
Original paper language: Russian
Citation: Yu. N. Drozhzhinov, B. I. Zavialov, “Tauberian theorems for generalized functions with supports in cones”, Math. USSR-Sb., 36:1 (1980), 75–86
Citation in format AMSBIB
\Bibitem{DroZav79}
\by Yu.~N.~Drozhzhinov, B.~I.~Zavialov
\paper Tauberian theorems for generalized functions with supports in~cones
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 1
\pages 75--86
\mathnet{http://mi.mathnet.ru//eng/sm2264}
\crossref{https://doi.org/10.1070/SM1980v036n01ABEH001767}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=524213}
\zmath{https://zbmath.org/?q=an:0432.46041|0405.46033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM22400005}
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  • https://www.mathnet.ru/eng/sm/v150/i1/p78
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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