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. 
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     author = {I. I. Strukova},
     title = {Wiener's theorem for periodic at infinity functions with summable weighted {Fourier} series},
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     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a11/}
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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/