TY  - BOOK
AU  - Figà-Talamanca,Alessandro
AU  - Nebbia,Claudio
TI  - Harmonic analysis and representation theory for groups acting on homogeneous trees
T2  - London Mathematical Society lecture note series
SN  - 9780511662324 (ebook)
AV  - QA166.2 .F43 1991
U1  - 515.2433 20
PY  - 1991///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Automorphisms
KW  - Harmonic analysis
KW  - Representations of groups
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511662324
ER  -