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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 3, Pages 315–324
DOI: https://doi.org/10.1070/SM1976v028n03ABEH001654 (Mi sm2755) 		 
This article is cited in 23 scientific papers (total in 23 papers)

On a complete orthonormal system

B. S. Kashin
English version PDF (455 kB) Citations (23)
References:
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DOI: https://doi.org/10.1070/SM1976v028n03ABEH001654
Abstract: In this paper we construct in $L_2(0,1)$ a complete orthonormal system $\{\psi_n(x)\}_{n=1}^\infty$ for which every series $\sum_{n=1}^\infty c_n\psi_n(x)$ whose coefficients satisfy the condition $\sum_{n=1}^\infty c_n^2=\infty$ diverges on a set of positive measure.
Bibliography: 6 titles.
Received: 20.05.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 99(141), Number 3, Pages 356–365
Bibliographic databases:
Document Type: Article
UDC: 517.52
MSC: 40A05, 42A56
Language: English
Original paper language: Russian
Citation: B. S. Kashin, “On a complete orthonormal system”, Mat. Sb. (N.S.), 99(141):3 (1976), 356–365; Math. USSR-Sb., 28:3 (1976), 315–324
Citation in format AMSBIB
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\by B.~S.~Kashin
\paper On a~complete orthonormal system
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 99(141)
\issue 3
\pages 356--365
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1976SbMat..28..315K}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 3
\pages 315--324
\crossref{https://doi.org/10.1070/SM1976v028n03ABEH001654}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EM69200004}
Linking options:
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  • https://doi.org/10.1070/SM1976v028n03ABEH001654
  • https://www.mathnet.ru/eng/sm/v141/i3/p356
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:667
    Russian version PDF:163
    English version PDF:7
    References:72
    First page:2
     
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