On the Conjugation Representation of a Locally Compact Group.
On the Convergence and Divergence Behaviour of Approximation Processes in Homogeneous Banach Spaces.
On the Dual Object of a Compact Connected Group.
On the extensions of infinite-dimensional representations of Lie semigroups.
On the Property P... of Locally Compact Groups
On the spectrum of the Laplacian on the affine group of the real line
On the support of the conjugation representation for solvable locally compact groups.
On trigonometric polynomials spanned by characters of unitary representations.
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
Operator-valued version of conditionally free product
We present an operator-valued version of the conditionally free product of states and measures, which in the scalar case was studied by Bożejko, Leinert and Speicher. The related combinatorics and limit theorems are provided.
Poisson Summation of Kirillov Orbits.
Polynomially growing pluriharmonic functions on Siegel domains
Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.
Property (T) and groups
We show that each group in a class of finitely generated groups introduced in [2] and [3] has Kazhdan’s property (T), and calculate the exact Kazhdan constant of with respect to its natural set of generators. These are the first infinite groups shown to have property (T) without making essential use of the theory of representations of linear groups, and the first infinite groups with property (T) for which the exact Kazhdan constant has been calculated. These groups therefore provide answers...
Property T for discrete groups in terms of their regular representation.
Property (T) for ... Factors and unitary representations of Kazhdan groups.
Propriétés des applications quadratiques d'un espace de Hilbert dans un espace vectoriel. Applications à la théorie spectrale des opérateurs normaux et à l'image numérique d'un opérateur
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. II
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I
Random walks on free products
Let be the product of finite groups each having order and let be the probability measure which takes the value on each element of . In this paper we shall describe the point spectrum of in and the corresponding eigenspaces. In particular we shall see that the point spectrum occurs only for suitable choices of the numbers . We also compute the continuous spectrum of in in several cases. A family of irreducible representations of , parametrized on the continuous spectrum of ,...