Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes
Fonctions harmoniques positives sur le groupe affine
Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente
Fonctions sphériques et opérateurs de Hecke
Formes automorphes et produits eulériens
Formes linéaires invariantes par translation et approximation rationnelle
Formes quadratiques sur un semi-groupe involutif.
Formule de Gutzmer pour la complexification d'une espace Riemannien symétrique
A Gutzmer formula for the complexification of a Riemann symmetric space. We consider a complex manifold and a real Lie group of holomorphic automorphisms of . The question we study is, for a holomorphic function on , to evaluate the integral of over a -orbit by using the harmonic analysis of . When is an annulus in the complex plane and the rotation group, it is solved by a classical formula which is sometimes called Gutzmer’s formula. We establish a generalization of it when is...
Formule de Plancherel pour GL (n, C) / U (p, q).
Fourier analysis, Schur multipliers on and non-commutative Λ(p)-sets
This work deals with various questions concerning Fourier multipliers on , Schur multipliers on the Schatten class as well as their completely bounded versions when and are viewed as operator spaces. For this purpose we use subsets of ℤ enjoying the non-commutative Λ(p)-property which is a new analytic property much stronger than the classical Λ(p)-property. We start by studying the notion of non-commutative Λ(p)-sets in the general case of an arbitrary discrete group before turning to the...
Fourier and Poisson transformation associated to a semisimple Symmetrie space.
Fourier coefficients and absolute convergence on compact totally disconnected groups.
Fourier Multipliers for Certain Spaces of Functions.
Fourier Multipliers on Compact Groups.
Fourier Series of Local Lipschitz Functions on Zero-Dimensional Groups.
Fourier transform of Schwartz functions on the Heisenberg group
Let H₁ be the 3-dimensional Heisenberg group. We prove that a modified version of the spherical transform is an isomorphism between the space 𝓢ₘ(H₁) of Schwartz functions of type m and the space 𝓢(Σₘ) consisting of restrictions of Schwartz functions on ℝ² to a subset Σₘ of the Heisenberg fan with |m| of the half-lines removed. This result is then applied to study the case of general Schwartz functions on H₁.
Fourier transforms of Dini-Lipschitz functions on Vilenkin groups.
Fourier Transforms of Lipschitz Functions and Fourier Multipliers on Compact Groups.
Fourier transforms of Lipschitz functions on certain Lie groups.
Fourier Transforms of Schwartz Functions on Chébli-Trimèche Hypergroups.