Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (Paperback) (ISBN-13: 9780521424448)

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 functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Author: Alessandro Figá-Talamanca, Claudio Nebbia
ISBN-10: 0521424445
ISBN-13: 9780521424448
Publisher: Cambridge University Press
Language: English
Published: 06/28/1991
Pages: 164
Format: Paperback
Weight: 0.56lbs
Size: 9.00h x 5.98w x 0.42d