Equidistribution of cusp forms on
We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on . This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on .
Erratum: A unified approach to concrete Plancherel theory of homogeneous spaces.
Espaces symétriques et méthode de Kashiwara-Vergne
Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature. II.
Estimates for derivatives of the Green functions on homogeneous manifolds of negative curvature.
Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature.
Estimates for the Poisson kernel on higher rank NA groups
We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank NA groups.
Estimates for the Poisson kernels and their derivatives on rank one NA groups
For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.
Estimates of BMO type for singular integrals on spaces of homogeneous type and applications to hypoelliptic PDEs.
Estimation Lp de la solution de l'equation des ondes sur le demi-plan de Poincaré.
Estimations at infinity of Bessel functions associated to the representations of a Jordan algebra. (Estimations à l'infini des fonctions de Bessel associées aux représentations d'une algèbre de Jordan.)
Étude asymptotique des vibrations des sphères
Extension of Positive Definite Functions and Representation of Functions in Terms of Spherical Functions in Symmetrie Spaces of Noncompact Type of Rank l.
Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.
Fixpunkte in homogenen Räumen.
Flots browniens isotropes sur la sphère
Fonctions sphériques et opérateurs de Hecke
Formes automorphes et produits eulériens
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).