Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
(Book #162 in the London Mathematical Society Lecture Note Series)
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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.
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"
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