Harmonic Analysis and Representations of Semisimple Lie Groups: Lectures Given at the NATO Advanced Study Institute on Representations of Lie Groups a (Paperback, Softcover Repri)

General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.