Geodesic
A class of sets of uniqueness for multiple Walsh series
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 14-21

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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. 
@article{VMUMM_2009_2_a3,
     author = {T. A. Zherebyova},
     title = {A class of sets of uniqueness for multiple {Walsh} series},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--21},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a3/}
}
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T. A. Zherebyova. A class of sets of uniqueness for multiple Walsh series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 14-21. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a3/