Sur les idéaux d'une algèbre de Beurling généralisée

Sur les idéaux d'une algèbre de Beurling généralisée

In this paper, we characterize the closed ideals of locally <em>m</em>-convex algebras as the linear closed subspaces that are invariant under translation. We also give a weighted algebra analogues of the classical theorems of N. Wiener and P. L&eacute;́ vy on absolutely convergent F...

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Bibliographic Details
Main Author: Abdellah El Kinani
Format: Article
Language:English
Published: Università degli Studi di Catania 2006-11-01
Series:Le Matematiche
Subjects:
Algèbre localement m-convexe commutative, produit de convolution, poids sur R^n , transformation de Fourier, idéal d’une algèbre, théorème de Lévi, théorème tauberien de Wiener
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/120
Description
Summary:In this paper, we characterize the closed ideals of locally <em>m</em>-convex algebras as the linear closed subspaces that are invariant under translation. We also give a weighted algebra analogues of the classical theorems of N. Wiener and P. L&eacute;́ vy on absolutely convergent Fourier series.
ISSN:0373-3505
2037-5298

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