The -curvature of homogeneous -metrics.
The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
The singularity of orbital measures on compact Lie groups.
We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.
The size of characters of compact Lie groups
Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then . When μ is a continuous, orbital measure then is seen to belong to . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).
The Skew-Hyperbolic Motion Group of the Quaternion Plane.
The structure of parabolic subgroups.
The unitary dual for complex classical Lie groups.
The unitary dual of G2.
The Unitary Dual of GI (3, IR) and GI (4, IR).
The unitary dual of GL(n) over an archimedean field.
The Weyl group as fixed point set of smooth involutions.
The word and riemannian metrics on lattices of semisimple groups
Théorème de Fatou pour les fonctions propres des opérateurs différentiels invariants par un groupe de déplacements de Cartan
Nous étudions le comportement à l’infini des intégrales de Poisson liées aux groupes de déplacements de Cartan.
Théorème de Paley-Wiener invariant tordu pour le changement de base
Topological methods in representation theory.