Non-Commutative Harmonic Analysis and Lie Groups: Proceedings of the International Conference Held in Marseille-Luminy, June 24-29, 1985

ISBN-13: 9783540177012 / Angielski / Miękka / 1987 / 310 str.

Jaques Carmona; Patrick Delorme; Michele Vergne

Opis

All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

Spis treści

Relationships of divisibility between local L-functions associated to representations of complex reductive groups.- Irreducible unitary representations of some groups of real rank two.- Vogan's algorithm for computing composition series.- Unipotent representations and unitarity.- Bochner-Riesz means of HP functions (0<p<1) on compact Lie groups.- Injection de modules spheriques pour les espaces symetriques reductifs dans certaines representations induites.- On the cyclicity of vectors associated with Duflo involutions.- Corrigenda and addenda to "on the cyclicity of vectors associated with Duflo involutions".- Atomic Hardy spaces on semisimple Lie groups.- Orbital integrals on symmetric spaces.- Recurrence relations for Plancherel functions.- A cohomological method for the determination of limit multiplicities.- Springer representations and coherent continuation representations of Weyl groups.- Distributions sphériques invariantes sur l'espace symétrique semi-simple et son c-dual.