4 citations · 10 across the 8 of their papers we have counts for
12 papers
Variantes sur un théorème de Candès, Romberg et Tao
Jean-Pierre Kahane
Variations on a theorem of Candès, Romberg and Tao The CRT theorem reconstructs a signal from a sparse set of frequencies, a paradigm of Compressed sensing. The signal is assumed t…
Sur un ensemble de Besicovitch
Jean-Pierre Kahane
Here is an example of a plane set of vanishing area and consisting of line-segments whose directions cover an angle : let E be a Cantor set of dissection ratio 1/4 (therefore dimen…
Analyse et synthèse harmoniques
Jean-Pierre Kahane
This is the material for two lectures given at Ecole Polytechnique in May 2011 for the math teachers of "classes préparatoires"(parallel to the undergraduate classes in universitie…
Idempotents et échantillonnage parcimonieux
Jean-Pierre Kahane
Following Candès, Romberg and Tao (IEEE Transactions on Information Theory 20,2 (2006) 489-509) a signal is represented as a function x defined on the cyclic group G = Z / NZ, and…
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…
Jacques Peyrière et les produits de Riesz
Jean-Pierre Kahane
Jacques Peyrière investigated Riesz products associated with a given set of frequencies and the corresponding coefficients : mutual singularity or absolute continuity of the measur…