Non-Commutative Harmonic Analysis and Lie Groups [electronic resource] : Proceedings of the International Conference held in Marseille-Luminy, June 24–29, 1985 / edited by Jacques Carmona, Patrick Delorme, Michèle Vergne, M.I.T.

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.

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.