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Systems of Functions and Sets of Uniqueness for Multiplicative Transforms / Zhereb'eva T.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 1. P. 18-25 [Moscow Univ. Math. Bulletin. Vol. 65, No 1, 2010. P. 16-22]. A problem of uniqueness for series over multiplicative systems of functions and for multiplicative transforms is considered. It is shown that each set of uniqueness for a multiplicative transform is specified by a countable collection of sets of uniqueness for series over the corresponding multiplicative system of functions. Each set of uniqueness for a series over a multiplicative system of functions is a portion on [0,1) of some set of uniqueness for the corresponding multiplicative transform.
Key words: set of uniqueness, multiplicative system of functions,
multiplicative transform.
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