Alessandro Figa-Talamanca is Professor of Mathematical Analysis at the University of Rome, Italy.

• 1. Introduction 2. Convolution Theorems 3. Spherical Functions 4. Eigenfunctions of the Laplace Operator and Representations 5. Unitary Representations 6. Uniformly Bounded Representations 7. Local Limit Theorems and Unitary Representations 8. Algebras of Coefficients of Representations

Alessandro Figa-Talamanca is Professor of Mathematical Analysis at the University of Rome, Italy.

• 1. Introduction 2. Convolution Theorems 3. Spherical Functions 4. Eigenfunctions of the Laplace Operator and Representations 5. Unitary Representations 6. Uniformly Bounded Representations 7. Local Limit Theorems and Unitary Representations 8. Algebras of Coefficients of Representations