%0 Journal Article
%T Sur les s¨Śries de Fourier des fonctions continues unimodulaires
%A Jean Bourgain
%A Jean-Pierre Kahane
%J Mathematics
%D 2010
%I arXiv
%X The Fourier series of continuous functions of constant absolute value have interesting properties : according to the main theorems of the article, if the coefficients with positive indexes are square-summable with respect to a certain weight (any real positive power of the index), the same is true for negative indexes. The result extends to VMO and does not to bounded measurable functions.
%U http://arxiv.org/abs/1003.5747v1