One class of the sets of uniqueness for multiple Walsh series / T. A. Zhereb'eva. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 2. P. 14-21 Moscow Univ. Math. Bulletin. Vol. 64, N 2, 2009. P. 55-61].
The uniqueness problem for multiple series over orthogonal systems of functions is considered. Classes of sets of uniqueness for multiple Walsh series and for multiple series over a mixed system of functions, which extends known classes of sets of uniqueness, are obtained. A many-dimensional analogue of Privalov's theorem is established.
Key words: sets of uniqueness, multiple functional series, convergence over rectangles, Privalov's theorem.