Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Author :
Publisher : American Mathematical Soc.
Total Pages : 86
Release :
ISBN-10 : 9780821825945
ISBN-13 : 0821825941
Rating : 4/5 (45 Downloads)

Book Synopsis Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees by : Alessandro Figà-Talamanca

Download or read book Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees written by Alessandro Figà-Talamanca and published by American Mathematical Soc.. This book was released on 1994 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a detailed study of the anisotropic series representations of the free product group Z/2Z*...*Z/2Z. 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.


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