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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

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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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees. To get started finding Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0511892632

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees. To get started finding Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

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