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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(1), Pages 3–7
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-3-7 (Mi isu227) 		 
Mathematics

On weighted analogs of Wiener's and Levy's theorems for Fourier–Vilenkin series

S. S. Volosivets

Saratov State University, Chair of Function Theory and Applications
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DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-3-7
Abstract: In this paper we find the general form of complex homomorphism for some subalgebras of absolutely convergent Fourier–Vilenkin series algebra. As a corollary, we obtain weighted analogs of Wiener's and Levy's theorems for Fourier–Vilenkin series.
Key words: Vilenkin system, absolute convergence, weight sequence, Wiener's theorem, Levy's theorem.
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, “On weighted analogs of Wiener's and Levy's theorems for Fourier–Vilenkin series”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 3–7
Citation in format AMSBIB
\Bibitem{Vol11}
\by S.~S.~Volosivets
\paper On weighted analogs of Wiener's and Levy's theorems for Fourier--Vilenkin series
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(1)
\pages 3--7
\mathnet{http://mi.mathnet.ru/isu227}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-1-3-7}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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