On~uniqueness of multiple trigonometric series
Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 107-131

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This article is devoted to questions of the uniqueness of multiple trigonometric series. Uniqueness theorems are obtained for multiple trigonometric series with additional hypotheses on their coefficients or spherical Abel means, and also on their Lebesgue means. Bibliography: 19 titles
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     title = {On~uniqueness of multiple trigonometric series},
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A. A. Talalyan. On~uniqueness of multiple trigonometric series. Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 107-131. http://geodesic.mathdoc.fr/item/SM_1988_60_1_a6/