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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 3, Pages 317–332
DOI: https://doi.org/10.1070/SM1979v035n03ABEH001484 (Mi sm2614) 		 
This article is cited in 14 scientific papers (total in 14 papers)

The algebra of Weyl symbols and the Cauchy problem for regular symbols

M. A. Antonets
English version PDF (864 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM1979v035n03ABEH001484
Abstract: An algebra of generalized functions and an isomorphic algebra of continuous linear operators in Schwartz space are defined. The properties of this algebra are studied, and the exponential function of certain elements of it is constructed.
Bibliography: 16 titles.
Received: 24.05.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 107(149), Number 1(9), Pages 20–36
Bibliographic databases:
UDC: 517.944
MSC: Primary 35S10, 46F10; Secondary 81C99
Language: English
Original paper language: Russian
Citation: M. A. Antonets, “The algebra of Weyl symbols and the Cauchy problem for regular symbols”, Mat. Sb. (N.S.), 107(149):1(9) (1978), 20–36; Math. USSR-Sb., 35:3 (1979), 317–332
Citation in format AMSBIB
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\by M.~A.~Antonets
\paper The algebra of Weyl symbols and the Cauchy problem for regular symbols
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 107(149)
\issue 1(9)
\pages 20--36
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=510140}
\zmath{https://zbmath.org/?q=an:0418.46061|0399.46056}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 3
\pages 317--332
\crossref{https://doi.org/10.1070/SM1979v035n03ABEH001484}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JD23700002}
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  • https://doi.org/10.1070/SM1979v035n03ABEH001484
  • https://www.mathnet.ru/eng/sm/v149/i1/p20
    • This publication is cited in the following 14 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:132
    English version PDF:6
    References:53
    First page:1
     
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