RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 4, Pages 34–41 (Mi isu330)

This article is cited in 6 papers

Mathematics

Wiener's theorem for periodic at infinity functions

I. I. Strukova

Voronezh State University

Abstract: In this article banach algebra of periodic at infinity functions is defined. For this class of functions notions of Fourier series and absolutely convergent Fourier series are introduced. As a result Wiener's theorem analog devoted to absolutely convergent Fourier series for periodic at infinity functions was proved.

Key words: Banach space, slowly varying at infinity functions, periodic at infinity functions, Wiener's theorem, absolutely convergent Fourier series, invertibility.

UDC: 517.9

DOI: 10.18500/1816-9791-2012-12-4-34-41



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024