On a Class of Sets of Uniqueness for Double Trigonometric Series
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 830-839

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We obtain a new class of sets of uniqueness for double trigonometric series in the case of rectangular convergence as well as prove the two-dimensional analog of Privalov's theorem.
Keywords: double trigonometric series, set of uniqueness for a series, Privalov's theorem, Lebesgue measurable function, Walsh system.
Mots-clés : rectangular convergence
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     author = {T. A. Zherebyova},
     title = {On a {Class} of {Sets} of {Uniqueness} for {Double} {Trigonometric} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {830--839},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a3/}
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T. A. Zherebyova. On a Class of Sets of Uniqueness for Double Trigonometric Series. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 830-839. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a3/