Geodesic
Wiener's theorem for periodic at infinity functions with summable weighted Fourier series
Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 140-148

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In the article we define a Banach algebra of periodic at infinity functions. For this class of functions we introduce the notions of a Fourier series, its absolutely convergence and invertibility. We obtain an analogue of Wiener theorem on absolutely convergent Fourier series for periodic at infinity functions whose Fourier coefficients are summable with a weight.
Keywords: Banach space, slowly varying at infinity functions, periodic at infinity functions, Wiener theorem, absolutely convergent Fourier series, invertibility. 
I. I. Strukova. Wiener's theorem for periodic at infinity functions with summable weighted Fourier series. Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 140-148. http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a11/
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