Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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
References:
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
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”, 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 Math. USSR-Sb.
\yr 1983
\vol 45
\issue 2
\pages 169--189
\mathnet{http://mi.mathnet.ru/eng/sm2197}
\crossref{https://doi.org/10.1070/SM1983v045n02ABEH001002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=644767}
\zmath{https://zbmath.org/?q=an:0512.35067|0485.35073}
Linking options:
  • https://www.mathnet.ru/eng/sm2197
  • https://doi.org/10.1070/SM1983v045n02ABEH001002
  • https://www.mathnet.ru/eng/sm/v159/i2/p161
  • This publication is cited in the following 5 articles:
    1. V. M. Kaplitskiǐ, “Asymptotics of the distribution of eigenvalues of a selfadjoint second order hyperbolic differential operator on the two-dimensional torus”, Siberian Math. J., 51:5 (2010), 830–846  mathnet  crossref  mathscinet  isi  elib
    2. Zielinski L., “Asymptotic-Behavior of Eigenvalues of Differential-Operators with Nonregular Coefficients on a Compact Manifold”, Comptes Rendus Acad. Sci. Ser. I-Math., 310:7 (1990), 563–568  mathscinet  zmath  isi
    3. S. Z. Levendorskii, “Non-classical spectral asymptotics”, Russian Math. Surveys, 43:1 (1988), 149–192  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. S. Z. Levendorskii, “The method of approximate spectral projection”, Math. USSR-Izv., 27:3 (1986), 451–502  mathnet  crossref  mathscinet  zmath
    5. S. Z. Levendorskii, “Asymptotics of the spectrum of linear operator pencils”, Math. USSR-Sb., 52:1 (1985), 245–266  mathnet  crossref  mathscinet  zmath
    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:307
    Russian version PDF:113
    English version PDF:25
    References:81
     
      Contact us:
    math-net2025_03@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025