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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 178, Pages 151–162 (Mi znsl4680)  
This article is cited in 1 scientific paper (total in 1 paper)

On uniformly convergent double Fourier series

S. V. Kislyakov
Full-text PDF (579 kB) Citations (1)
Abstract: The uniform convergence in question is defined by means of a system of mutually homotetic starlike polygons. It is established, among other things, that an arbitrary positive sequence in $l^2(\mathbb{T}^2)$ can be majorized by the sequence of absolute values of coefficients of a uniformly convergent double Fourier series.
English version:
Journal of Soviet Mathematics, 1992, Volume 61, Issue 2, Pages 2038–2044
DOI: https://doi.org/10.1007/BF01095667
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: S. V. Kislyakov, “On uniformly convergent double Fourier series”, Investigations on linear operators and function theory. Part 18, Zap. Nauchn. Sem. LOMI, 178, "Nauka", Leningrad. Otdel., Leningrad, 1989, 151–162; J. Soviet Math., 61:2 (1992), 2038–2044
Citation in format AMSBIB
\Bibitem{Kis89}
\by S.~V.~Kislyakov
\paper On uniformly convergent double Fourier series
\inbook Investigations on linear operators and function theory. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 178
\pages 151--162
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1037769}
\zmath{https://zbmath.org/?q=an:0784.42010|0728.42008}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 61
\issue 2
\pages 2038--2044
\crossref{https://doi.org/10.1007/BF01095667}
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    • 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
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