Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 604–608
DOI: https://doi.org/10.4213/mzm11697 (Mi mzm11697) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables

S. A. Telyakovskiiab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
Full-text PDF (399 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11697
Abstract: We present a necessary and sufficient condition for the series of absolute values of blocks of Fourier series elements and blocks of series of summands in Parseval's identity to converge in the class of two-variable functions of bounded variation in the sense of Hardy.
Keywords: functions of bounded variation in two variables, Fourier coefficients, Parseval's identity.
Received: 15.05.2017
Revised: 23.09.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 645–648
DOI: https://doi.org/10.1134/S000143461803032X
Bibliographic databases:
Document Type: Article
UDC: 517.518.475
PACS: 02.30.Nw
Language: Russian
Citation: S. A. Telyakovskii, “On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables”, Mat. Zametki, 103:4 (2018), 604–608; Math. Notes, 103:4 (2018), 645–648
Citation in format AMSBIB
\Bibitem{Tel18}
\by S.~A.~Telyakovskii
\paper On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
\jour Mat. Zametki
\yr 2018
\vol 103
\issue 4
\pages 604--608
\mathnet{http://mi.mathnet.ru/mzm11697}
\crossref{https://doi.org/10.4213/mzm11697}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3780063}
\elib{https://elibrary.ru/item.asp?id=32641353}
\transl
\jour Math. Notes
\yr 2018
\vol 103
\issue 4
\pages 645--648
\crossref{https://doi.org/10.1134/S000143461803032X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000430553100032}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046341312}
Linking options:
  • https://www.mathnet.ru/eng/mzm11697
  • https://doi.org/10.4213/mzm11697
  • https://www.mathnet.ru/eng/mzm/v103/i4/p604
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024