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Mathematics of the USSR-Sbornik, 1985, Volume 51, Issue 1, Pages 191–206
DOI: https://doi.org/10.1070/SM1985v051n01ABEH002854
(Mi sm1993)
 

This article is cited in 7 scientific papers (total in 7 papers)

A complete asymptotic expansion of the spectral function of second order elliptic operators in $\mathbf R^n$

B. R. Vainberg
References:
Abstract: A complete asymptotic expansion as $\lambda\to\infty$, $|x|,|y|\leqslant b<\infty$ ($b$ arbitrary) is obtained for the spectral function $e_\lambda(x,y)$ of second order elliptic operators in $\mathbf R^n$ satisfying the condition of not being “trapped”, i.e. the requirement that the bicharacteristics issuing from any point extend to infinity.
Bibliography: 17 titles.
Received: 20.04.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 123(165), Number 2, Pages 195–211
Bibliographic databases:
UDC: 517.95
MSC: Primary 35P05, 47F05, 41A60; Secondary 35J15
Language: English
Original paper language: Russian
Citation: B. R. Vainberg, “A complete asymptotic expansion of the spectral function of second order elliptic operators in $\mathbf R^n$”, Mat. Sb. (N.S.), 123(165):2 (1984), 195–211; Math. USSR-Sb., 51:1 (1985), 191–206
Citation in format AMSBIB
\Bibitem{Vai84}
\by B.~R.~Vainberg
\paper A~complete asymptotic expansion of the spectral function of second order elliptic operators in~$\mathbf R^n$
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 123(165)
\issue 2
\pages 195--211
\mathnet{http://mi.mathnet.ru/sm1993}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=732385}
\zmath{https://zbmath.org/?q=an:0573.35070}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 51
\issue 1
\pages 191--206
\crossref{https://doi.org/10.1070/SM1985v051n01ABEH002854}
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  • https://www.mathnet.ru/eng/sm/v165/i2/p195
  • This publication is cited in the following 7 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:291
    Russian version PDF:92
    English version PDF:7
    References:45
     
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