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.
| ISBN: | 9780521424448 |
| Publication date: | 28th June 1991 |
| Author: | Alessandro FigáTalamanca, Claudio Nebbia |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 164 pages |
| Series: | London Mathematical Society Lecture Note Series |
| Genres: |
Probability and statistics |
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 features in the following genres: Probability and statistics
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees is available in Paperback
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees was written by Alessandro FigáTalamanca, Claudio Nebbia and published by Cambridge University Press
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees has 164 pages
Yes it is part of London Mathematical Society Lecture Note Series series
£51.30