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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 1, Pages 79–102
DOI: https://doi.org/10.1070/SM1974v024n01ABEH001906 (Mi sm3745) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Trigonometric Fourier series of continuous functions diverging on a given set

V. V. Buzdalin
English version PDF (1061 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/SM1974v024n01ABEH001906
Abstract: In this work divergent trigonometric Fourier series of continuous functions are investigated.
Certain types of sets are determined which are sets of divergence, unbounded divergence and bounded divergence for Fourier series of continuous functions. From these results it follows that there exist sets of bounded divergence having Hausdorff dimension 1 and also sets having positive $\alpha$-capacity.
Bibliography: 19 titles.
Received: 21.12.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 1(9), Pages 84–107
Bibliographic databases:
UDC: 517.522.3
MSC: Primary 42A20; Secondary 42A40
Language: English
Original paper language: Russian
Citation: V. V. Buzdalin, “Trigonometric Fourier series of continuous functions diverging on a given set”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 84–107; Math. USSR-Sb., 24:1 (1974), 79–102
Citation in format AMSBIB
\Bibitem{Buz74}
\by V.~V.~Buzdalin
\paper Trigonometric Fourier series of continuous functions diverging on a~given set
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 1(9)
\pages 84--107
\mathnet{http://mi.mathnet.ru/sm3745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358197}
\zmath{https://zbmath.org/?q=an:0316.42004}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 1
\pages 79--102
\crossref{https://doi.org/10.1070/SM1974v024n01ABEH001906}
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  • https://www.mathnet.ru/eng/sm/v137/i1/p84
    • This publication is cited in the following 10 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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    Russian version PDF:222
    English version PDF:24
    References:55
     
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