2 papers
math.CA2010
Sur les séries de Fourier des fonctions continues unimodulaires
Jean Bourgain, Jean-Pierre Kahane
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…
math.CA2008
Principe d'Heisenberg et fonctions positives
Jean Bourgain, Laurent Clozel, Jean-Pierre Kahane
Starting from a problem in number theory, the article investigates the properties of the couples of Fourier transforms on the real line, f and g, real and even, f >= 0 out of an in…