ABSTRACT

This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.

chapter Chapter 1|9 pages

Introduction

chapter Chapter 2|19 pages

Convolution Theorems

chapter Chapter 3|19 pages

Spherical Functions

chapter Chapter 5|21 pages

Unitary Representations

chapter Chapter 6|12 pages

Uniformly Bounded Representations

chapter Chapter 7|15 pages

Local Limit Theorems and Unitary Representations

chapter Chapter 8|18 pages

Algebras of Coefficients of Representations