Wiener's theorem for periodic at infinity functions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 34-41

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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.
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     title = {Wiener's theorem for periodic at infinity functions},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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I. I. Strukova. Wiener's theorem for periodic at infinity functions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 34-41. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a6/