Geodesic
An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces
Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 191-202

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In this paper, we study various generalizations of the classical Wiener algebra on a Banach space and prove analogs of Wiener's theorem on the invertibility of elements of such algebras.
Keywords: Wiener algebra, Banach space, Wiener's theorem, Fourier series, maximal ideal, Banach algebra
Mots-clés : convolution algebra, Aron–Berner extension. 
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     author = {A. V. Zagorodnjuk and M. A. Mitrofanov},
     title = {An {Analog} of {Wiener's} {Theorem} for {Infinite-Dimensional} {Banach} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2015},
     language = {ru},
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A. V. Zagorodnjuk; M. A. Mitrofanov. An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces. Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 191-202. http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a2/