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Mathematics of the USSR-Sbornik, 1975, Volume 27, Issue 3, Pages 393–405
DOI: https://doi.org/10.1070/SM1975v027n03ABEH002521 (Mi sm3719) 		 
This article is cited in 23 scientific papers (total in 24 papers)

A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure

S. V. Bochkarev
English version PDF (490 kB) Citations (24) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1975v027n03ABEH002521
Abstract: It is shown that every system of collectively bounded orthonormal functions admits an integrable function whose Fourier series diverges on a set of positive measure.
Bibliography: 6 titles.
Received: 10.04.1975
Bibliographic databases:
Document Type: Article
UDC: 517.522.3
MSC: Primary 42A60; Secondary 42A20
Language: English
Original paper language: Russian
Citation: S. V. Bochkarev, “A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure”, Math. USSR-Sb., 27:3 (1975), 393–405
Citation in format AMSBIB
\Bibitem{Boc75}
\by S.~V.~Bochkarev
\paper A~Fourier series in an arbitrary bounded orthonormal system that diverges on a~set of positive measure
\jour Math. USSR-Sb.
\yr 1975
\vol 27
\issue 3
\pages 393--405
\mathnet{http://mi.mathnet.ru/eng/sm3719}
\crossref{https://doi.org/10.1070/SM1975v027n03ABEH002521}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=390634}
\zmath{https://zbmath.org/?q=an:0315.42011}
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  • https://doi.org/10.1070/SM1975v027n03ABEH002521
  • https://www.mathnet.ru/eng/sm/v140/i3/p436
    • This publication is cited in the following 24 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:520
    Russian version PDF:134
    English version PDF:27
    References:91
    First page:1
     
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