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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


 English version:
Sbornik: Mathematics, 2016, 207:1, 65–84

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© Steklov Math. Inst. of RAS, 2024