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Mathematics of the USSR-Sbornik, 1971, Volume 14, Issue 3, Pages 429–437
DOI: https://doi.org/10.1070/SM1971v014n03ABEH002626 (Mi sm3264) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Absolute convergence of Fourier series over complete orthonormal systems of functions

S. V. Bochkarev
English version PDF (386 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1971v014n03ABEH002626
Abstract: In the paper results of the type of the Bernstein–Saks theorem and Carleman's singularity are established for arbitrary complete orthonormal systems, as well as for any countable family of such systems. The method of proof is based on utilizing series with random arrangement of signs.
Bibliography: 5 titles.
Received: 05.10.1970
Bibliographic databases:
Document Type: Article
UDC: 517.522.3
MSC: 42A60
Language: English
Original paper language: Russian
Citation: S. V. Bochkarev, “Absolute convergence of Fourier series over complete orthonormal systems of functions”, Math. USSR-Sb., 14:3 (1971), 429–437
Citation in format AMSBIB
\Bibitem{Boc71}
\by S.~V.~Bochkarev
\paper Absolute convergence of Fourier series over complete orthonormal systems of functions
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 3
\pages 429--437
\mathnet{http://mi.mathnet.ru/eng/sm3264}
\crossref{https://doi.org/10.1070/SM1971v014n03ABEH002626}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=298324}
\zmath{https://zbmath.org/?q=an:0218.42013}
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  • https://www.mathnet.ru/eng/sm/v127/i3/p431
    • 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
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    Abstract page:503
    Russian version PDF:129
    English version PDF:38
    References:91
    First page:1
     
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