Integralzerlegungen positiv definiter Distributionen auf nilpotenten Liegruppen.
Invariant symbolic calculus for compact Lie groups
We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.
Invariant symbolic calculus for semidirect products
Let be the semidirect product where is a connected semisimple non-compact Lie group acting linearly on a finite-dimensional real vector space . Let be a unitary irreducible representation of which is associated by the Kirillov-Kostant method of orbits with a coadjoint orbit of whose little group is a maximal compact subgroup of . We construct an invariant symbolic calculus for , under some technical hypothesis. We give some examples including the Poincaré group.
Invarianten endlicher Gruppen und biholomorphe Abbildungen.
Irreducibility of certain nonunitary representations in spaces of eigendistributions. (Irréductibilité de certaines representations non unitaires dans des espaces de distributions propres.)
Jacobi Forms and Discrete Series Representations of the Jacobi Group.
Kazhdan constants and matrix coefficients of .
Kazhdan constants associated with Laplacian on connected Lie groups.
Kazhdan constants for SL (3, Z).
K-finite Whittaker functions are of finite order one
We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.
Kirillov's Character Formula for Reductive Lie Groups.
Kugeldarstellungen der orthogonalen Gruppe.
-indistinguishability and -groups for quasisplit groups : unitary groups in even dimension
La formule du caractère pour les groupes de Lie presque algébriques réels
Le but de ce travail est de donner une description globale du caractère des représentations unitaires irréductibles d’un groupe presque algèbrique réel, construites par M. Duflo dans le cadre de la méthode des orbites. Pour ce faire, nous démontrons sous certaines conditions une formule de localisation permettant d’exprimer le caractère d’une représentation associée à l’orbite coadjointe au voisinage d’un élément elliptique en terme de la transformée de Fourier de la mesure de Liouville sur l’ensemble...
Lie groups with smooth characters and with smooth semicharacters
Lifting smooth curves over invariants for representations of compact Lie groups. II.
L...-versions of the Howe correspondence I.
Maps Between Real Classifying Spaces.
Matrix entries of real representations of the groups and .
Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters , but it is derived only for those values that come from the group theoretical setup.