A remark on the geometry of spaces of functions with prime frequencies - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2013

A remark on the geometry of spaces of functions with prime frequencies

Résumé

For any positive integer r, denote by Pr the set of all integers 2 Z having at most r prime divisors. We show CPr (T), the space of all continuous functions on the circle T whose Fourier spectrum lies in Pr, contains a complemented copy of '1. In particular, CPr (T) is not isomorphic to C(T), nor to the disc algebra A(D). A similar result holds in the L1 setting.
Fichier principal
Vignette du fichier
C_Premiers.pdf (299.43 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00859170 , version 1 (09-09-2013)

Identifiants

  • HAL Id : hal-00859170 , version 1

Citer

Pascal Lefèvre, Etienne Matheron, Olivier Ramare. A remark on the geometry of spaces of functions with prime frequencies. 2013. ⟨hal-00859170⟩
174 Consultations
243 Téléchargements

Partager

Gmail Facebook X LinkedIn More