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A product formula for spherical representations of a group of automorphisms of a homogeneous tree, II
Authors:Donald I. Cartwright   Gabriella Kuhn
Affiliation:School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia ; Dipartimento di matematica e applicazioni, Università di Milano-Bicocca, Viale Sarca 202, Edificio U7, 20126 Milano, Italy
Abstract:

Let $G=text{Aut}(T)$ be the group of automorphisms of a homogeneous tree $T$and let $pi$ be the tensor product of two spherical irreducible unitary representations of $G$. We complete the explicit decomposition of $pi$commenced in part I of this paper, by describing the discrete series representations of $G$ which appear as subrepresentations of $pi$.

Keywords:Homogeneous tree   spherical representation
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