Harmonic analysis for anisotropic random walks on homogeneous trees

Harmonic analysis for anisotropic random walks on homogeneous trees / Alessandro Figà-Talamanca, Tim Steger.

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Bibliographic Details
Main Authors: Figà-Talamanca, Alessandro, 1938- (Author), Steger, Tim, 1957- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1994.
Series:Memoirs of the American Mathematical Society ; Volume 100, no. 531.
Subjects:
Locally compact groups.
Representations of groups.
Random walks (Mathematics)
Trees (Graph theory)
Locally compact groups
Representations of groups
Online Access:Click for online access
Table of Contents:
  • 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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