RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

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

 Sibirsk. Mat. Zh., 2003, Volume 44, Number 3, Pages 550–559 (Mi smj1197)

Difference equations for functions analytic beyond several squares

F. N. Garif'yanov

Kazan State Power Engineering University

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

Full text: PDF file (191 kB)
References: PDF file   HTML file

English version:
Siberian Mathematical Journal, 2003, 44:3, 435–442

Bibliographic databases:

UDC: 517.93

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://www.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}

• http://mi.mathnet.ru/eng/smj1197
• http://mi.mathnet.ru/eng/smj/v44/i3/p550

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. F. N. Garif'yanov, E. V. Nasyrova, “Regularization of linear difference equations with analytic coefficients and their applications”, Russian Math. (Iz. VUZ), 55:11 (2011), 66–70
2. F. N. Garif'yanov, S. A. Modina, “The Carleman kernel and its applications”, Siberian Math. J., 53:6 (2012), 1011–1020
3. F. N. Garif'yanov, E. V. Strezhneva, “Difference equation for functions analytical outside two squares”, Russian Math. (Iz. VUZ), 62:6 (2018), 1–5
4. F. N. Garifyanov, “Summarnoe uravnenie dlya funktsii, golomorfnykh vne dvukh treugolnikov, i ego prilozheniya”, Izv. vuzov. Matem., 2019, no. 10, 21–27
5. F. N. Garifyanov, E. V. Strezhneva, “O probleme momentov dlya tselykh funktsii na neskolkikh luchakh, indutsirovannoi kvadratom”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 161, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2019, 119–126
6. Garif'yanov F.N., Strezhneva E.V., “on a Difference Equation Generated By Two “Close” Squares”, Lobachevskii J. Math., 40:1, SI (2019), 55–59
•  Number of views: This page: 241 Full text: 61 References: 55