Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Alessandro Figa-Talamanca, Tim Steger
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.
Categories:
Year:
1994
Publisher:
Amer Mathematical Society
Language:
english
Pages:
86
ISBN 10:
0821825941
ISBN 13:
9780821825945
Series:
Memoirs of the American Mathematical Society 531
File:
DJVU, 1.14 MB
IPFS:
,
english, 1994
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