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Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
 
Front Cover for Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Available Formats:
Electronic ISBN: 978-1-4704-0110-8
Product Code: MEMO/110/531.E
List Price: $36.00
MAA Member Price: $32.40
AMS Member Price: $21.60
Front Cover for Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
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  • Front Cover for Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
  • Back Cover for Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Available Formats:
Electronic ISBN:  978-1-4704-0110-8
Product Code:  MEMO/110/531.E
List Price: $36.00
MAA Member Price: $32.40
AMS Member Price: $21.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1101994; 68 pp
    MSC: Primary 22; Secondary 20; 43; 60;

    This work presents a detailed study of the anisotropic series representations of the free product group \(\mathbf Z/2\mathbf Z\star \cdots \star \mathbf Z/2\mathbf Z\). These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • 0. Introduction
    • 1. The Green function
    • 2. The spectrum and the Plancherel measure
    • 3. Representations and their realization on the boundary
    • 4. Irreducibility and inequivalence
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Volume: 1101994; 68 pp
MSC: Primary 22; Secondary 20; 43; 60;

This work presents a detailed study of the anisotropic series representations of the free product group \(\mathbf Z/2\mathbf Z\star \cdots \star \mathbf Z/2\mathbf Z\). These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.

Readership

Research mathematicians.

  • Chapters
  • 0. Introduction
  • 1. The Green function
  • 2. The spectrum and the Plancherel measure
  • 3. Representations and their realization on the boundary
  • 4. Irreducibility and inequivalence
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