Uniqueness for trigonometric series with respect to an increasing number of variables
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 175-181

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For series with respect to Jessen’s system, an analog of the Cantor theorem on the uniqueness of a trigonometric series is proved.
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N. N. Kholshchevnikova. Uniqueness for trigonometric series with respect to an increasing number of variables. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 175-181. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a12/