Format:
1 Online-Ressource (ix, 151 pages)
,
digital, PDF file(s).
ISBN:
9780511662324
Series Statement:
London Mathematical Society lecture note series 162
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521424448
Additional Edition:
ISBN 9780521424448
Additional Edition:
ISBN 9780521424448
Additional Edition:
Erscheint auch als Figà-Talamanca, Alessandro, 1938 - 2023 Harmonic analysis and representation theory for groups acting on homogeneous trees Cambridge [u.a.] : Cambridge Univ. Press, 1991 ISBN 0521424445
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521424448
Language:
English
Subjects:
Mathematics
Keywords:
Homogener Baum
;
Automorphismengruppe
;
Irreduzible Darstellung
DOI:
10.1017/CBO9780511662324
