Harmonic Analysis on Free Groups

1. Auflage 1983
ISBN: 978-0-8247-7042-6
Verlag: Taylor & Francis Inc

Buch, Englisch, 168 Seiten, Format (B × H): 174 mm x 246 mm, Gewicht: 318 g

Reihe: Lecture Notes in Pure and Applied Mathematics

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.

Autoren/Hrsg.

Figa-Talamanca

Figa-Talamanca, Alessandro

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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

Über Autor(innen)

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