A weighted algebra analogues of Wiener's and Lévy's theorems

DOI10.1007/S12215-012-0093-3zbMath1268.46033OpenAlexW2074653821MaRDI QIDQ1928216

L. Bouchikhi, Abdellah El Kinani

Publication date: 2 January 2013

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/s12215-012-0093-3

zbMATH Keywords

Fourier transformcommutative Banach algebraweight functionconvolution productFourier seriescharacter spaceWeiner's theoremLévy's theoremweighted algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (4)

The Weyl functional calculus in Michael-algebras ⋮ On weighted \(\ell^p\)-convergence of Fourier series: a variant of theorems of Wiener and Lévy ⋮ Real analytic calculus for several variables and applications ⋮ Wiener's and Lévy's theorems for some weighted power series

Cites Work

• 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
• On generalized Beurling algebras
• Unnamed Item

This page was built for publication: A weighted algebra analogues of Wiener's and Lévy's theorems