Wiener's and Lévy's theorems for some weighted power series

DOI10.1007/S12215-014-0159-5zbMath1321.46052OpenAlexW2044006136MaRDI QIDQ743956

L. Bouchikhi, Abdellah El Kinani

Publication date: 2 October 2014

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0159-5

zbMATH Keywords

commutative Banach algebraweight functionpower seriesconvolution productWiener's theoremGelfand spaceLévy's theoremweighted algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (5)

The Weyl functional calculus in Michael-algebras ⋮ On weighted \(\ell^p\)-convergence of Fourier series: a variant of theorems of Wiener and Lévy ⋮ Corrigendum and addendum to: ``Wiener's and Lévy's theorems for some weighted power series ⋮ ON MULTIPLIER WEIGHTED-SPACE OF SEQUENCES ⋮ Real analytic calculus for several variables and applications

Cites Work

• Unnamed Item
• A version of Wiener's and Lévy's theorems
• Beurling algebra analogues of the classical theorems of Wiener and Lévy on absolutely convergent Fourier series
• A weighted algebra analogues of Wiener's and Lévy's theorems

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