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Paperback Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees Book

ISBN: 0521424445

ISBN13: 9780521424448

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

(Book #162 in the London Mathematical Society Lecture Note Series)

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...

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