A class of sets of uniqueness for multiple Walsh series |
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Authors: | T A Zhereb’eva |
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Institution: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia |
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Abstract: | 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 are obtained, which extends known classes of sets of uniqueness. A many-dimensional analogue of Privalov’s theorem is established. |
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