%0 Unpublished work
%T A remark on the geometry of spaces of functions with prime frequencies
%+ Laboratoire de Mathématiques de Lens (LML)
%+ Laboratoire Paul Painlevé - UMR 8524 (LPP)
%A Lefèvre, Pascal
%A Matheron, Etienne
%A Ramare, Olivier
%8 2013-07-01
%D 2013
%Z Mathematics [math]/Functional Analysis [math.FA]Preprints, Working Papers, ...
%X 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.
%G English
%2 https://hal.science/hal-00859170/document
%2 https://hal.science/hal-00859170/file/C_Premiers.pdf
%L hal-00859170
%U https://hal.science/hal-00859170
%~ UNIV-ARTOIS
%~ CNRS
%~ UNIV-LILLE
%~ LML
%~ LPP-MATH