Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Volosivets S. S. On Weighted Analogs of Wiener’s and Levy’s Theorems for Fourier – Vilenkin Series. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 3, pp. 3-7. DOI: 10.18500/1816-9791-2011-11-3-1-3-7

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.07.2011
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Language: 
Russian
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UDC: 
517.518

On Weighted Analogs of Wiener’s and Levy’s Theorems for Fourier – Vilenkin Series

Autors: 
Volosivets Sergei Sergeevich, Saratov State University
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.

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