Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees
Download Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree.
Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees
Author: Alessandro Figà-Talamanca
language: en
Publisher: Cambridge University Press
Release Date: 1991
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.
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
Author: Alessandro Figá-Talamanca
language: en
Publisher: Cambridge University Press
Release Date: 1991-06-28
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.