A characterization of spherical series representations of the free group

Kuhn, Gabriella; Steger, Tim

doi:10.1090/S0002-9939-1991-1064905-8

A characterization of spherical series representations of the free group
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by Gabriella Kuhn and Tim Steger PDF

Proc. Amer. Math. Soc. 113 (1991), 1085-1096 Request permission

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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