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, 1972, Volume 18, Issue 4, Pages 635–658
DOI: https://doi.org/10.1070/SM1972v018n04ABEH001869 (Mi sm3252) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the convergence of Riesz spherical means of multiple Fourier series and integrals of functions of bounded generalized variation

B. I. Golubov
English version PDF (1228 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1972v018n04ABEH001869
Abstract: A necessary and sufficient condition is found for the pointwise convergence of the Riesz spherical means of critical order of multiple Fourier series and integrals in the class of functions whose spherical Steklov means at the given point have (as a function of the radius of the sphere) bounded generalized variation.
Bibliography: 25 titles.
Received: 29.04.1972
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 4(12), Pages 630–653
Bibliographic databases:
UDC: 517.522.3
MSC: Primary 42A20, 42A92; Secondary 26A45
Language: English
Original paper language: Russian
Citation: B. I. Golubov, “On the convergence of Riesz spherical means of multiple Fourier series and integrals of functions of bounded generalized variation”, Math. USSR-Sb., 18:4 (1972), 635–658
Citation in format AMSBIB
\Bibitem{Gol72}
\by B.~I.~Golubov
\paper On~the convergence of Riesz spherical means of multiple Fourier series and integrals of functions of bounded generalized variation
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 4
\pages 635--658
\mathnet{http://mi.mathnet.ru//eng/sm3252}
\crossref{https://doi.org/10.1070/SM1972v018n04ABEH001869}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=324306}
\zmath{https://zbmath.org/?q=an:0256.42027}
Linking options:
  • https://www.mathnet.ru/eng/sm3252
  • https://doi.org/10.1070/SM1972v018n04ABEH001869
  • https://www.mathnet.ru/eng/sm/v131/i4/p630
    • This publication is cited in the following 13 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:484
    Russian version PDF:175
    English version PDF:19
    References:64
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024