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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.

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Book Details

ISBN: 9780521424448
ISBN-10: 0521424445
Format: Paperback
(228mm x 152mm x 10mm)
Pages: 164
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Jun-1991
Country of Publication: United Kingdom

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