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, 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
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 $\mathbf R^n$”, 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 Math. USSR-Sb.
\yr 1985
\vol 51
\issue 1
\pages 191--206
\mathnet{http://mi.mathnet.ru//eng/sm1993}
\crossref{https://doi.org/10.1070/SM1985v051n01ABEH002854}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=732385}
\zmath{https://zbmath.org/?q=an:0573.35070}
Linking options:
  • https://www.mathnet.ru/eng/sm1993
  • https://doi.org/10.1070/SM1985v051n01ABEH002854
  • 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:318
    Russian version PDF:96
    English version PDF:14
    References:50
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024