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portada Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees Paperback (London Mathematical Society Lecture Note Series)
Type
Physical Book
Publisher
Author
Year
1991
Language
English
Pages
164
Format
Paperback
ISBN
0521424445
ISBN13
9780521424448
Edition No.
1
Categories

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees Paperback (London Mathematical Society Lecture Note Series)

FigÁ-Talamanca; Nebbia (Author) · Cambridge University Press · Paperback

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees Paperback (London Mathematical Society Lecture Note Series) - FigÁ-Talamanca; Nebbia

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Synopsis "Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees Paperback (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 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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