The Type Structure of the Regular Representation of a Locally Compact Group.
The Uncertainty Principle: A Mathematical Survey.
The uniform bounded approximation property with respect to the Haar basis
The Unitary Dual of GI (3, IR) and GI (4, IR).
The universal semilattice compactification of a semigroup.
The use of mixed norms: Two examples
The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces
We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.
The weak Paley-Wiener property for group extensions.
The weakly almost periodic compactification: Another approach.
The Weyl group as fixed point set of smooth involutions.
The Wiener Property for a Class of Discrete Hypergroups.
The Wigner semi-circle law and the Heisenberg group
The Wigner Theorem states that the statistical distribution of the eigenvalues of a random Hermitian matrix converges to the semi-circular law as the dimension goes to infinity. It is possible to establish this result by using harmonic analysis on the Heisenberg group. In fact this convergence corresponds to the topology of the set of spherical functions associated to the action of the unitary group on the Heisenberg group.
The Witt group of quadratic characters.
Théorème central limite local sur certains groupes de Lie
Théorème central limite sur les groupes nilpotents
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.
Theorems on lacunary sets, especially p-Sidon sets
Théorie de Littlewood-Paley-Stein et processus stables
Theta Functions and Symplectic Groups.
Thickness conditions and Littlewood-Paley sets
We consider sets in the real line that have Littlewood-Paley properties LP(p) or LP and study the following question: How thick can these sets be?