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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 3(1), Pages 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

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.

UDC: 517.518

DOI: 10.18500/1816-9791-2011-11-3-1-3-7



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