Sur les idéaux d'une algèbre de Beurling généralisée

Authors

  • Abdellah El Kinani

Keywords:

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

Abstract

In this paper, we characterize the closed ideals of locally m-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. Lé́ vy on absolutely convergent Fourier series.

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Published

2007-04-01

Issue

Section

Articoli