Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

Explore the intricate world of group theory with Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees by Alessandro Figá-Talamanca. Published by Cambridge University Press in 1991, this comprehensive paperback spans 164 pages and delves into the detailed theory of representations of the group of automorphisms of homogeneous trees.

Figá-Talamanca meticulously classifies the unitary irreducible representations into three distinct types: a continuous series of spherical representations, two special representations, and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. This book is an essential resource for those interested in harmonic analysis, mathematical analysis, and the representation of groups.

Perfect for students and researchers alike, this work offers valuable insights into the intersection of group theory and harmonic analysis, making it a must-have addition to your mathematical library.