This book, Analysis on Lie Groups and Representation Theory, is based on the Summer School held at Kénitra University (Morocco). Michèle Vergne presented equivariant cohomology in the case of the circle acting on a manifold due to Paradan's localization formula. François Rouvière lectured on Damek-Ricci spaces, which provide examples of nonsymmetric harmonic Riemannian manifolds. Jacques Faraut discussed analysis, using Choquet's theory, of the invariant Hilbert spaces of holomorphic functions, with an application to the Bargmann-Segal transform on a compact symmetric space.

The volume is suitable for graduate students and researchers interested in Lie groups.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in Lie groups.

Table of Contents

• M. Vergne -- Cohomologie équivariante et théorème de Stokes
• F. Rouvière -- Espaces de Damek-Ricci, géométrie et analyse
• J. Faraut -- Espaces hilbertiens invariants de fonctions holomorphes
• Séminaire