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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees : London Mathematical Society Lecture Note Series - Alessandro Figa-Talamanca

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

London Mathematical Society Lecture Note Series

Paperback Published: 9th September 1991
ISBN: 9780521424448
Number Of Pages: 164

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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.

Chapter 1
Chapter 2
Chapter 3
Appendix
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521424448
ISBN-10: 0521424445
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 164
Published: 9th September 1991
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.0
Weight (kg): 0.25