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Harmonic analysis for anisotropic random walks on homogeneous trees /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autores principales:	Figà-Talamanca, Alessandro, 1938- (Autor), Steger, Tim, 1957- (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Providence, Rhode Island : American Mathematical Society, 1994.
Colección:	Memoirs of the American Mathematical Society ; Volume 100, no. 531.
Temas:	Locally compact groups. Representations of groups. Random walks (Mathematics) Trees (Graph theory) Groupes localement compacts. Représentations de groupes. Marches aléatoires (Mathématiques) Arbres (Théorie des graphes) Locally compact groups Representations of groups
Acceso en línea:	Texto completo

Tabla de Contenidos:

Contents
List of Figures
Index of Notation
Abstract
Chapter 0. Introduction
Chapter 1. The Green Function
1. Random Walks on a Tree
2. The Method of Paths
3. The Nearest Neighbor Case
4. The Case of a Finitely Supported Measure
5. Algebraicity of the Green Function
6. Notes and Remarks
Chapter 2. The Spectrum and the Plancherel Measure
1. The Spectrum of the Random Walk in l[sup(r)]{G)
2. The l[sup(2)]-spectrum and the Real l[sup(1)]-spectrum
3. The Plancherel Formula
4. Notes and Remarks
Chapter 3. Representations and their Realization on the Boundary1. Boundary Theory for Eigenfunctions of the Random Walk
2. The Principal Series
3. The Complementary Series
4. Notes and Remarks
Chapter 4. Irreducibility and Inequivalence
1. Irreducibility
2. Inequivalence
3. Notes and Remarks
References

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