Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A characterization of spherical series representations of the free group

Authors: Gabriella Kuhn and Tim Steger
Journal: Proc. Amer. Math. Soc. 113 (1991), 1085-1096
MSC: Primary 22D10; Secondary 20E05, 43A65
MathSciNet review: 1064905
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Abstract: The spherical series representations of a free nonabelian group are here characterized as those irreducible unitary representations possessing a certain type of matrix coefficient. We make some conjectures on the problem of finding a natural boundary realization for a general irreducible representation of the free group, supposed to be weakly contained in the regular representation.

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Keywords: Free group, unitary representation, spherical series
Article copyright: © Copyright 1991 American Mathematical Society