Table of Contents

Multipliers and a Paley-Wiener theorem for real reductive groups.- Weyl group representations and nilpotent orbits.- A generalization of Casselman’ s submodule theorem.- Fourier transforms of orbits of the coadjoint representation.- IL2 -cohomology for groups of real rank one.- Character relations between singular holomorphic representations.- A classification of unitary highest weight modules.- The range of the Radon transform on a symmetric space.- Weighted orbital integrals.- Reciprocity laws in the theory of dual pairs.- Characters of the discrete series for pseudo-Riemannian symmetric spaces.- All supercuspidal representations of SL? over a p-adic field are induced.- A note on invariant forms on locally symmetric spaces.- Oscillatory integrals and their application to harmonic analysis on semisimple Lie groups.- The Kazhdan-Lusztig conjecture for real reductive groups.- Completeness of Poincaré series for automorphic forms associated to the integrable discrete series.- Geometric methods in representation theory.