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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London...

Home > Mathematics Books > Group Theory > Item 364

	Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London...
	by Alessandro Figá-Talamanca and Claudio Nebbia Sales Rank: 5605553	List Price: ~~$48.00~~ $53.00 At Amazon on 12-6-2008

Paperback: 162 pages Publisher: Cambridge University Press June 28, 1991 Language: English ISBN-10: 0521424445 ISBN-13: 978-0521424448 Product Dimensions: 9 x 6 x 0.4 inches Shipping Weight: 8.8 ounces *Product Description* 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. *Book Description* 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.
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London... Available from Amazon Price: $53.00 Updated on 12-6-2008

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