Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

✍ Scribed by Alessandro Figa-Talamanca, Tim Steger

Publisher: Amer Mathematical Society
Year: 1994
Tongue: English
Leaves: 86
Series: Memoirs AMS 531
Category: Library

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Harmonic Analysis for Anisotropic Random

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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 seri

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The unitary irreducible representations are classified in three series: a continuous series of spherical, two special representations, and a countable series of cupsidal representations as defined by G.I. Ol'shiankii.

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✍ Nolan R Wallach 📂 Library 📅 1973 🏛 M. Dekker 🌐 English

The intent of this book is to give students of mathematics and mathematicians in diverse fields an entry into the subject of harmonic analysis on homogeneous spaces. It is hoped that the book could be used as a supplement to a standard one-year course in Lie groups and Lie algebras or as the main te

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