Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
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…
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Produktdetails
- ISBN: 978-0-511-89263-9
- EAN: 9780511892639
- Produktnummer: 14823799
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 1991
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 13'393 KB
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