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, 2003, Volume 44, Number 3, Pages 550–559 (Mi smj1197)  

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

Difference equations for functions analytic beyond several squares

F. N. Garif'yanov

Kazan State Power Engineering University
Full-text PDF (191 kB) Citations (7)
References:
Abstract: We consider some set of squares constructed for the primitive periods 1 and $i$ and sufficiently distant from each other. In a neighborhood of this set we study a four-element difference equation with constant coefficients whose linear stifts are generators of the corresponding doubly periodic group and their inverses. A solution is sought in the class of functions analytic beyond this set and vanishing at infinity. We show that the solvability of the problem depends essentially not only on the choice of the coefficients but also on the disposition of the squares.
Keywords: difference equation, regularization method, doubly periodic group.
Received: 29.10.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 435–442
DOI: https://doi.org/10.1023/A:1023856613786
Bibliographic databases:
UDC: 517.93
Language: Russian
Citation: F. N. Garif'yanov, “Difference equations for functions analytic beyond several squares”, Sibirsk. Mat. Zh., 44:3 (2003), 550–559; Siberian Math. J., 44:3 (2003), 435–442
Citation in format AMSBIB
\Bibitem{Gar03}
\by F.~N.~Garif'yanov
\paper Difference equations for functions analytic beyond several squares
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 3
\pages 550--559
\mathnet{http://mi.mathnet.ru/smj1197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984703}
\zmath{https://zbmath.org/?q=an:1029.30023}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 3
\pages 435--442
\crossref{https://doi.org/10.1023/A:1023856613786}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183560300006}
Linking options:
  • https://www.mathnet.ru/eng/smj1197
  • https://www.mathnet.ru/eng/smj/v44/i3/p550
  • 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
    Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024