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Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 2, Pages 169–189
DOI: https://doi.org/10.1070/SM1983v045n02ABEH001002 (Mi sm2197) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics of the eigenvalues of hypoelliptic operators on a closed manifold

V. I. Bezyaev
English version PDF (1241 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/SM1983v045n02ABEH001002
Abstract: In this article an asymptotic formula with an estimate of the remainder term is proved for the distribution function of the eigenvalues of hypoelliptic differential operators on a compact manifold without boundary. The proof is based on a method for constructing an approximate spectral projection for the operators under consideration.
Bibliography: 16 titles.
Received: 20.03.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 117(159), Number 2, Pages 161–180
Bibliographic databases:
UDC: 517.43
MSC: 35H05, 35P20
Language: English
Original paper language: Russian
Citation: V. I. Bezyaev, “Asymptotics of the eigenvalues of hypoelliptic operators on a closed manifold”, Mat. Sb. (N.S.), 117(159):2 (1982), 161–180; Math. USSR-Sb., 45:2 (1983), 169–189
Citation in format AMSBIB
\Bibitem{Bez82}
\by V.~I.~Bezyaev
\paper Asymptotics of the eigenvalues of hypoelliptic operators on a closed manifold
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 117(159)
\issue 2
\pages 161--180
\mathnet{http://mi.mathnet.ru/sm2197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=644767}
\zmath{https://zbmath.org/?q=an:0512.35067|0485.35073}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 2
\pages 169--189
\crossref{https://doi.org/10.1070/SM1983v045n02ABEH001002}
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  • https://www.mathnet.ru/eng/sm/v159/i2/p161
    • This publication is cited in the following 5 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:245
    Russian version PDF:101
    English version PDF:6
    References:56
     
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