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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 |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; Chapter I; 1) Graphs and trees; 2) The free group as a tree; 3) Automorphisms of a tree; 4) The group of automorphisms Aut(X); 5) Compact maximal subgroups; 6) Discrete subgroups; 7) Cayley graphs which are trees; 8) Amenable subgroups; 9) Orbits of amenable subgroups; 10) Groups with transitive action on the boundary; 11) Notes and remarks; Chapter II; 1) Eigenfunctions of the Laplace operator; 2) Spherical functions; 3) Intertwining operators; 4) The Gelfand pair (G, K); 5) Spherical representations