Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 2, Pages 14–21 (Mi vmumm854)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

A class of sets of uniqueness for multiple Walsh series

T. A. Zherebyova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (257 kB) Citations (4)
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, 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.
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: 05.03.2008
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: T. A. Zherebyova, “A class of sets of uniqueness for multiple Walsh series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 14–21
Citation in format AMSBIB
\Bibitem{Zhe09}
\by T.~A.~Zherebyova
\paper A class of sets of uniqueness for multiple Walsh series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 2
\pages 14--21
\mathnet{http://mi.mathnet.ru/vmumm854}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543168}
\zmath{https://zbmath.org/?q=an:1304.42071}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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