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, 2014, Volume 95, Issue 2, Pages 257–270
DOI: https://doi.org/10.4213/mzm4509 (Mi mzm4509) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh–Kaczmarz System

I. V. Polyakov

M. V. Lomonosov Moscow State University
Full-text PDF (476 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4509
Abstract: A new lower bound for the growth of the Dirichlet kernel for the Walsh–Kaczmarz system is obtained and an example of an almost everywhere divergent Fourier series with respect to this system from a class narrower than that examined earlier is constructed.
Keywords: Dirichlet kernel, Fourier series, Walsh–Kaczmarz system, Kaczmarz indexing, Lebesgue measure, Walsh function.
Received: 31.01.2008
Revised: 15.01.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 234–246
DOI: https://doi.org/10.1134/S0001434614010258
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. V. Polyakov, “Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh–Kaczmarz System”, Mat. Zametki, 95:2 (2014), 257–270; Math. Notes, 95:2 (2014), 234–246
Citation in format AMSBIB
\Bibitem{Pol14}
\by I.~V.~Polyakov
\paper Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System
\jour Mat. Zametki
\yr 2014
\vol 95
\issue 2
\pages 257--270
\mathnet{http://mi.mathnet.ru/mzm4509}
\crossref{https://doi.org/10.4213/mzm4509}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3267211}
\elib{https://elibrary.ru/item.asp?id=21276977}
\transl
\jour Math. Notes
\yr 2014
\vol 95
\issue 2
\pages 234--246
\crossref{https://doi.org/10.1134/S0001434614010258}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335457200025}
\elib{https://elibrary.ru/item.asp?id=21866879}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894820731}
Linking options:
  • https://www.mathnet.ru/eng/mzm4509
  • https://doi.org/10.4213/mzm4509
  • https://www.mathnet.ru/eng/mzm/v95/i2/p257
    • This publication is cited in the following 1 articles:
    1. G. G. Oniani, “On the Divergence Sets of Fourier Series in Systems of Characters of Compact Abelian Groups”, Math. Notes, 112:1 (2022), 100–108  mathnet  crossref  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:508
    Full-text PDF :250
    References:94
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025