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Mathematics of the USSR-Sbornik, 1971, Volume 15, Issue 3, Pages 443–491
DOI: https://doi.org/10.1070/SM1971v015n03ABEH001556
(Mi sm3306)
 

This article is cited in 11 scientific papers (total in 11 papers)

On a class of pseudodifferential operators with an infinite number of variables, and applications

P. M. Bleher, M. I. Vishik
References:
Abstract: In this work there are investigated pseudodifferential operators of an infinite number of variables whose symbols, roughly speaking, are comparable with a fractional power of a fixed elliptic quadratic form. A composition formula for such operators is proved. Applications are made to the theory of elliptic and parabolic operators of higher orders.
Figures: 2.
Bibliography: 8 titles.
Received: 10.06.1971
Bibliographic databases:
UDC: 517.9
MSC: Primary 47G05; Secondary 35S15, 58G15
Language: English
Original paper language: Russian
Citation: P. M. Bleher, M. I. Vishik, “On a class of pseudodifferential operators with an infinite number of variables, and applications”, Math. USSR-Sb., 15:3 (1971), 443–491
Citation in format AMSBIB
\Bibitem{BleVis71}
\by P.~M.~Bleher, M.~I.~Vishik
\paper On a~class of pseudodifferential operators with an infinite number of variables, and applications
\jour Math. USSR-Sb.
\yr 1971
\vol 15
\issue 3
\pages 443--491
\mathnet{http://mi.mathnet.ru//eng/sm3306}
\crossref{https://doi.org/10.1070/SM1971v015n03ABEH001556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=296770}
\zmath{https://zbmath.org/?q=an:0224.35086}
Linking options:
  • https://www.mathnet.ru/eng/sm3306
  • https://doi.org/10.1070/SM1971v015n03ABEH001556
  • https://www.mathnet.ru/eng/sm/v128/i3/p446
  • This publication is cited in the following 11 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
    Statistics & downloads:
    Abstract page:402
    Russian version PDF:145
    English version PDF:19
    References:61
    First page:2
     
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