Uniqueness of multiple trigonometric series
Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 596-603.

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For multiple trigonometric series we state uniqueness theorems that are multidimensional analogs of the Steinhaus, Kahane, and Katznelson theorems.
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Sh. T. Tetunashvili. Uniqueness of multiple trigonometric series. Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 596-603. http://geodesic.mathdoc.fr/item/MZM_1995_58_4_a10/

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