Geodesic
On the convergence of double trigonometric series and Fourier series with monotone coefficients
Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 57-75

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

The author studies some questions about the way in which the convergence of double trigonometric series depends on the properties of the coefficients. Bibliography: 11 titles. 
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     title = {On the convergence of double trigonometric series and {Fourier} series with monotone coefficients},
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M. I. Dyachenko. On the convergence of double trigonometric series and Fourier series with monotone coefficients. Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 57-75. http://geodesic.mathdoc.fr/item/SM_1987_57_1_a3/