Harmonic analysis for anisotropic random walks on homogeneous trees /

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Figà-Talamanca, Alessandro, 1938- (Auteur), Steger, Tim, 1957- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1994.
Collection:Memoirs of the American Mathematical Society ; Volume 100, no. 531.
Sujets:
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
Accès en ligne:Texto completo
Table des matières:
  • 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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