Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

by Claudio Nebbia and Alessandro Figà-Talamanca

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical...

• Format: Paperback
• Language: English
• ISBN: 0521424445
• ISBN13: 9780521424448
• Release Date: August 2008
• Publisher: Cambridge University Press
• Length: 164 Pages
• Weight: 0.56 lbs.
• Dimensions: 0.4" x 6.0" x 9.0"