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, 1998, Volume 63, Issue 5, Pages 717–724
DOI: https://doi.org/10.4213/mzm1338 (Mi mzm1338) 		 
Divergent Fourier series of integrable functions with respect to orthonormal systems

A. S. Krantsberg

Moscow Institute of Municipal Economy and Construction
Full-text PDF (181 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm1338
Abstract: There exist two orthonormal systems such that the Fourier series of each function $f\in L[0,1]$, $f\ne0$, with respect to at least one of these systems diverges on a set of positive measure.
Received: 25.11.1996
Revised: 03.09.1997
English version:
Mathematical Notes, 1998, Volume 63, Issue 5, Pages 631–637
DOI: https://doi.org/10.1007/BF02312844
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. S. Krantsberg, “Divergent Fourier series of integrable functions with respect to orthonormal systems”, Mat. Zametki, 63:5 (1998), 717–724; Math. Notes, 63:5 (1998), 631–637
Citation in format AMSBIB
\Bibitem{Kra98}
\by A.~S.~Krantsberg
\paper Divergent Fourier series of integrable functions with respect to orthonormal systems
\jour Mat. Zametki
\yr 1998
\vol 63
\issue 5
\pages 717--724
\mathnet{http://mi.mathnet.ru/mzm1338}
\crossref{https://doi.org/10.4213/mzm1338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1683645}
\zmath{https://zbmath.org/?q=an:0924.42020}
\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 5
\pages 631--637
\crossref{https://doi.org/10.1007/BF02312844}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000076726600010}
Linking options:
  • https://www.mathnet.ru/eng/mzm1338
  • https://doi.org/10.4213/mzm1338
  • https://www.mathnet.ru/eng/mzm/v63/i5/p717
    • 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:305
    Full-text PDF :184
    References:46
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024