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Harmonic analysis and representation theory for groups acting on homogeneous 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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1991.
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| Colección: | London Mathematical Society lecture note series ;
162. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (ix, 151 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 138-143) and index. |
| ISBN: | 9781107361805 110736180X 9780511662324 0511662327 |