On trigonometric Fourier series
Sbornik. Mathematics, Tome 29 (1976) no. 4, pp. 521-546

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This paper studies the problem of the convergence and $(C,\alpha)$ summability of simple and multiple trigonometric Fourier series. Bibliography: 21 titles.
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L. V. Zhizhiashvili. On trigonometric Fourier series. Sbornik. Mathematics, Tome 29 (1976) no. 4, pp. 521-546. http://geodesic.mathdoc.fr/item/SM_1976_29_4_a5/