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Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

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Figa-Talamanca, Alessandro, Steger, Tim

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Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees, ISBN 9780821825945 Own This Book? Sell It
ISBN-13:

9780821825945

ISBN:

0821825941

Publisher: American Mathematical Society Summary: 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, the [read more]
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ISBN-13:

9780821825945


ISBN:

0821825941


Publisher: American Mathematical Society

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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