A remark on the geometry of spaces of ...
Type de document :
Pré-publication ou Document de travail
Titre :
A remark on the geometry of spaces of functions with prime frequencies
Auteur(s) :
Lefèvre, Pascal [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Matheron, Etienne [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Ramare, Olivier [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire de Mathématiques de Lens [LML]
Matheron, Etienne [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Ramare, Olivier [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Discipline(s) HAL :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- C_Premiers.pdf
- Accès libre
- Accéder au document