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Sbornik: Mathematics, 2016, Volume 207, Issue 1, Pages 65–84
DOI: https://doi.org/10.1070/SM8494 (Mi sm8494) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the divergence of triangular and eccentric spherical sums of double Fourier series

G. A. Karagulyan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
English version PDF (516 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM8494
Abstract: We construct a continuous function on the torus with almost everywhere divergent triangular sums of double Fourier series. We also prove an analogous theorem for eccentric spherical sums.
Bibliography: 14 titles.
Keywords: divergent triangular sums, double Fourier series.
Received: 22.02.2015 and 16.07.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 1, Pages 73–92
DOI: https://doi.org/10.4213/sm8494
Bibliographic databases:
Document Type: Article
UDC: 517.52
MSC: 42B08
Language: English
Original paper language: Russian
Citation: G. A. Karagulyan, “On the divergence of triangular and eccentric spherical sums of double Fourier series”, Mat. Sb., 207:1 (2016), 73–92; Sb. Math., 207:1 (2016), 65–84
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM8494
  • https://www.mathnet.ru/eng/sm/v207/i1/p73
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:535
    Russian version PDF:178
    English version PDF:15
    References:80
    First page:42
     
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