Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 490–496 (Mi smj1855)  
This article is cited in 2 scientific papers (total in 2 papers)

The spectra and singular values of multidimensional integral operators with bihomogeneous kernels

O. G. Avsyankin

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences
Full-text PDF (298 kB) Citations (2)
References:
PDF
HTML
Abstract: We consider the multidimensional integral operators with bihomogeneous kernel invariant under all rotations. For truncated operators of the type we describe the limit behavior of the set of singular values and in the case when these operators are selfadjoint we describe the limit behavior of their spectra.
Keywords: integral operator, truncated operator, spectrum, singular value, $C^*$-algebra.
Received: 12.03.2007
Revised: 30.11.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 389–394
DOI: https://doi.org/10.1007/s11202-008-0038-4
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “The spectra and singular values of multidimensional integral operators with bihomogeneous kernels”, Sibirsk. Mat. Zh., 49:3 (2008), 490–496; Siberian Math. J., 49:3 (2008), 389–394
Citation in format AMSBIB
\Bibitem{Avs08}
\by O.~G.~Avsyankin
\paper The spectra and singular values of multidimensional integral operators with bihomogeneous kernels
\jour Sibirsk. Mat. Zh.
\yr 2008
\vol 49
\issue 3
\pages 490--496
\mathnet{http://mi.mathnet.ru/smj1855}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2442532}
\zmath{https://zbmath.org/?q=an:1164.47344}
\transl
\jour Siberian Math. J.
\yr 2008
\vol 49
\issue 3
\pages 389--394
\crossref{https://doi.org/10.1007/s11202-008-0038-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000256329000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44349157578}
Linking options:
  • https://www.mathnet.ru/eng/smj1855
  • https://www.mathnet.ru/eng/smj/v49/i3/p490
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:336
    Full-text PDF :95
    References:56
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024