Mathematics of the USSR-Sbornik
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. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 4, Pages 547–560
DOI: https://doi.org/10.1070/SM1974v022n04ABEH001704
(Mi sm3477)
 

This article is cited in 1 scientific paper (total in 1 paper)

On divergent Fourier series in orthogonal systems

A. S. Krantsberg
References:
Abstract: In this work there is constructed a complete orthonormal system with respect to which the Fourier series of piecewise continuous non-identically-zero functions diverge a.e. There is also constructed an orthonormal system with respect to which the Fourier series of continuous functions converge a.e., while the Fourier series of bounded functions having at least one discontinuity of the first kind diverge a.e.
Bibliography: 10 titles.
Received: 08.05.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 4, Pages 540–553
Bibliographic databases:
UDC: 517.522.3
MSC: 42A20, 42A56
Language: English
Original paper language: Russian
Citation: A. S. Krantsberg, “On divergent Fourier series in orthogonal systems”, Mat. Sb. (N.S.), 93(135):4 (1974), 540–553; Math. USSR-Sb., 22:4 (1974), 547–560
Citation in format AMSBIB
\Bibitem{Kra74}
\by A.~S.~Krantsberg
\paper On divergent Fourier series in orthogonal systems
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 4
\pages 540--553
\mathnet{http://mi.mathnet.ru/sm3477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=352862}
\zmath{https://zbmath.org/?q=an:0292.42018}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 4
\pages 547--560
\crossref{https://doi.org/10.1070/SM1974v022n04ABEH001704}
Linking options:
  • https://www.mathnet.ru/eng/sm3477
  • https://doi.org/10.1070/SM1974v022n04ABEH001704
  • https://www.mathnet.ru/eng/sm/v135/i4/p540
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:322
    Russian version PDF:84
    English version PDF:7
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024