Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 1, Pages 18–25 (Mi vmumm747)  
Mathematics

Connection between sets of uniqueness for multiplicative systems of functions and sets of uniqueness for multiplicative transforms

T. A. Zherebyova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (244 kB)
Abstract: A problem of uniqueness in the theory of series over multiplicative system of functions and in the theory of multiplicative transforms is considered. It is shown that every set of uniqueness for multiplicative transform is specified by a countable collection of sets of uniqueness for series over the corresponding multiplicative system of functions. Whereas every set of uniqueness for series over 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.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00669
Ministry of Education and Science of the Russian Federation НШ-2787.2008.1
Received: 16.06.2008
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: T. A. Zherebyova, “Connection between sets of uniqueness for multiplicative systems of functions and sets of uniqueness for multiplicative transforms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1, 18–25
Citation in format AMSBIB
\Bibitem{Zhe10}
\by T.~A.~Zherebyova
\paper Connection between sets of uniqueness for multiplicative systems of functions and sets of uniqueness for multiplicative transforms
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 1
\pages 18--25
\mathnet{http://mi.mathnet.ru/vmumm747}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664140}
\zmath{https://zbmath.org/?q=an:1304.42023}
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