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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 1, Pages 262–278
DOI: https://doi.org/10.1070/SM1987v056n01ABEH003035 (Mi sm2127) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A continuous function with multiple Fourier series in the Walsh–Paley system that diverges almost everywhere

R. D. Getsadze
English version PDF (643 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM1987v056n01ABEH003035
Abstract: It is proved that there exists a continuous function defined on $[0,1]k^2$ whose double Fourier–Walsh–Paley series diverges almost everywhere in the sense of Pringsheim.
Bibliography: 9 titles
Received: 19.06.1984
Bibliographic databases:
UDC: 517.51
MSC: 42C10, 42B05
Language: English
Original paper language: Russian
Citation: R. D. Getsadze, “A continuous function with multiple Fourier series in the Walsh–Paley system that diverges almost everywhere”, Math. USSR-Sb., 56:1 (1987), 262–278
Citation in format AMSBIB
\Bibitem{Get85}
\by R.~D.~Getsadze
\paper A~continuous function with multiple Fourier series in the Walsh--Paley system that diverges almost everywhere
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 1
\pages 262--278
\mathnet{http://mi.mathnet.ru//eng/sm2127}
\crossref{https://doi.org/10.1070/SM1987v056n01ABEH003035}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=809489}
\zmath{https://zbmath.org/?q=an:0606.42026}
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  • https://www.mathnet.ru/eng/sm/v170/i2/p269
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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