Geodesic
On the divergence of triangular and eccentric spherical sums of double Fourier series
Sbornik. Mathematics, Tome 207 (2016) no. 1, pp. 65-84

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     title = {On the divergence of triangular and eccentric spherical sums of double {Fourier} series},
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G. A. Karagulyan. On the divergence of triangular and eccentric spherical sums of double Fourier series. Sbornik. Mathematics, Tome 207 (2016) no. 1, pp. 65-84. http://geodesic.mathdoc.fr/item/SM_2016_207_1_a2/