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JOURNALS
// Matematicheskii Sbornik
// Archive
Mat. Sb.,
2016
Volume 207,
Number 1,
Pages
73–92
(Mi sm8494)
This article is cited 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
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.
UDC:
517.52
MSC:
42B08
Received:
22.02.2015 and 16.07.2015
DOI:
10.4213/sm8494
Fulltext:
PDF file (541 kB)
References
Cited by
English version:
Sbornik: Mathematics, 2016,
207
:1,
65–84
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024