Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 3, Pages 451–502
DOI: https://doi.org/10.1070/IM1986v027n03ABEH001185 (Mi im1395) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The method of approximate spectral projection

S. Z. Levendorskii
English version PDF (2308 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1986v027n03ABEH001185
Abstract: A method is developed for proving a classical formula for the asymptotic behavior of the spectrum in various spectral problems, with a certain estimate of the remainder. Considered as applications are linear pencils both on bounded and on unbounded regions, problems in the theory of shells, and the problem of the asymptotic behavior of a discrete spectrum accumulating to the boundary of the essential spectrum for Schrödinger and Dirac operators.
Bibliography: 74 titles.
Received: 31.01.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 6, Pages 1177–1228
Bibliographic databases:
UDC: 517.956
MSC: Primary 35J10, 35P20, 35S15, 47A10; Secondary 35J10, 73L20
Language: English
Original paper language: Russian
Citation: S. Z. Levendorskii, “The method of approximate spectral projection”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1177–1228; Math. USSR-Izv., 27:3 (1986), 451–502
Citation in format AMSBIB
\Bibitem{Lev85}
\by S.~Z.~Levendorskii
\paper The method of approximate spectral projection
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 6
\pages 1177--1228
\mathnet{http://mi.mathnet.ru/im1395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=816853}
\zmath{https://zbmath.org/?q=an:0614.35021}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 3
\pages 451--502
\crossref{https://doi.org/10.1070/IM1986v027n03ABEH001185}
Linking options:
  • https://www.mathnet.ru/eng/im1395
  • https://doi.org/10.1070/IM1986v027n03ABEH001185
  • https://www.mathnet.ru/eng/im/v49/i6/p1177
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:365
    Russian version PDF:140
    English version PDF:17
    References:43
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024