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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 |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1991.
|
| Colección: | London Mathematical Society lecture note series ;
162. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Figà-Talamanca, Alessandro, |d 1938- | |
| 245 | 1 | 0 | |a Harmonic analysis and representation theory for groups acting on homogeneous trees / |c Alessandro Figà-Talamanca and Claudio Nebbia. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1991. | ||
| 300 | |a 1 online resource (ix, 151 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 162 | |
| 504 | |a Includes bibliographical references (pages 138-143) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 505 | 0 | |a 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 | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Automorphisms. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 0 | |a Trees (Graph theory) | |
| 650 | 2 | |a Fourier Analysis | |
| 650 | 6 | |a Arbres (Théorie des graphes) | |
| 650 | 6 | |a Analyse harmonique. | |
| 650 | 6 | |a Représentations de groupes. | |
| 650 | 6 | |a Automorphismes. | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a Trees (Graph theory) |2 fast |0 (OCoLC)fst01156136 | |
| 650 | 7 | |a Automorphisms. |2 fast |0 (OCoLC)fst00824131 | |
| 650 | 7 | |a Harmonic analysis. |2 fast |0 (OCoLC)fst00951490 | |
| 650 | 7 | |a Representations of groups. |2 fast |0 (OCoLC)fst01094938 | |
| 650 | 7 | |a Homogener Baum |2 gnd | |
| 650 | 7 | |a Automorphismengruppe |2 gnd | |
| 650 | 7 | |a Irreduzible Darstellung |2 gnd | |
| 650 | 1 | 7 | |a Harmonische analyse. |2 gtt |
| 650 | 1 | 7 | |a Representatie (wiskunde) |2 gtt |
| 650 | 7 | |a Automorphismes. |2 ram | |
| 650 | 7 | |a Analyse harmonique. |2 ram | |
| 650 | 7 | |a Représentations de groupes. |2 ram | |
| 700 | 1 | |a Nebbia, Claudio. | |
| 776 | 0 | 8 | |i Print version: |a Figà-Talamanca, Alessandro, 1938- |t Harmonic analysis and representation theory for groups acting on homogeneous trees. |d Cambridge ; New York : Cambridge University Press, 1991 |z 0521424445 |w (OCoLC)24177045 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 162. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552465 |z Texto completo |
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