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Mathematics of the USSR-Sbornik, 1978, Volume 34, Issue 4, Pages 425–447
DOI: https://doi.org/10.1070/SM1978v034n04ABEH001217 (Mi sm2536) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics of the density of states of hypoelliptic almost periodic operators

V. I. Bezyaev
English version PDF (1330 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1978v034n04ABEH001217
Abstract: For a hypoelliptic differential operator with almost periodic coefficients asymptotics are found for the density of states, complete with a remainder term. Under certain conditions on the symbol of the operator the asymptotics imply an estimate on the length of the gaps in the given operator acting in $L^2(\mathbf R^n)$.
Bibliography: 25 titles.
Received: 05.07.1977
Bibliographic databases:
UDC: 517.45
MSC: Primary 47G05, 47F05, 35P20; Secondary 35H05, 46L05, 42A75
Language: English
Original paper language: Russian
Citation: V. I. Bezyaev, “Asymptotics of the density of states of hypoelliptic almost periodic operators”, Math. USSR-Sb., 34:4 (1978), 425–447
Citation in format AMSBIB
\Bibitem{Bez78}
\by V.~I.~Bezyaev
\paper Asymptotics of the density of states of hypoelliptic almost periodic operators
\jour Math. USSR-Sb.
\yr 1978
\vol 34
\issue 4
\pages 425--447
\mathnet{http://mi.mathnet.ru/eng/sm2536}
\crossref{https://doi.org/10.1070/SM1978v034n04ABEH001217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=493525}
\zmath{https://zbmath.org/?q=an:0382.47026|0439.47037}
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  • https://www.mathnet.ru/eng/sm2536
  • https://doi.org/10.1070/SM1978v034n04ABEH001217
  • https://www.mathnet.ru/eng/sm/v147/i4/p485
    • This publication is cited in the following 5 articles:
    1. V. I. Bezyaev, “Ob asimptotike plotnosti sostoyanii gipoellipticheskikh pochti-periodicheskikh sistem”, Trudy Matematicheskogo instituta im. S.M. Nikolskogo RUDN, SMFN, 65, no. 4, Rossiiskii universitet druzhby narodov, M., 2019, 593–604  mathnet  crossref
    2. Boimatov K., “Mean Multidimensional Function of Distribution for Elliptic Almost-Periodic Operators”, Dokl. Akad. Nauk, 351:4 (1996), 439–443  mathnet  mathscinet  zmath  isi
    3. T. E. Bogorodskaya, M. A. Shubin, “A variational principle for the density of states of random pseudodifferential operators, and its applications”, Funct. Anal. Appl., 17:2 (1983), 133–134  mathnet  crossref  mathscinet  zmath  isi
    4. V. I. Bezyaev, “Asymptotics of the eigenvalues of hypoelliptic operators on a closed manifold”, Math. USSR-Sb., 45:2 (1983), 169–189  mathnet  crossref  mathscinet  zmath
    5. M. A. Shubin, “The spectral theory and the index of elliptic operators with almost periodic coefficients”, Russian Math. Surveys, 34:2 (1979), 109–157  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
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    Abstract page:290
    Russian version PDF:97
    English version PDF:14
    References:54
     
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