Cocyle Representations of Solvable Lie Groups.
Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one.
Connected groups with polynomially induced dual.
Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.
Cyclic Vectors for Representations of Locally Compact Groups.
Die Frobeniuseigenschaft FP für diskrete Gruppen.
Discrete decomposability of the restriction of A ... with respect to reductive subgroups and its applications.
Distributions of Positive Type and Representations of Lie Groups.
Duality, imprimitivity, reciprocity
Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel
Explicit Kazhdan constants for representations of semisimple and arithmetic groups
Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described explicitly....
Fell’s subgroup algebra for locally compact abelian groups and -covariance algebras
Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles
Fourier coefficients and absolute convergence on compact totally disconnected groups.
Fourier-Stieltjes algebras of compact extensions of nilpotent groups.
Free semigroups and unitary group representations
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.
Generalized Calderón conditions and regular orbit spaces
The construction of generalized continuous wavelet transforms on locally compact abelian groups A from quasi-regular representations of a semidirect product group G = A ⋊ H acting on L²(A) requires the existence of a square-integrable function whose Plancherel transform satisfies a Calderón-type resolution of the identity. The question then arises under what conditions such square-integrable functions exist. The existing literature on this subject leaves a gap between sufficient and necessary criteria....
Gleichverteilte Folgen in lokalkompakten Gruppen.
Groupes localement compacts