The spherical series representations ofa free nonabelian group are here characterized s those irreducible unitary representations pos essing 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
Kuhn, M., Steger, T. (1991). A characterization of spherical series representations of the free group. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 111(4), 1085-1096 [10.1090/S0002-9939-1991-1064905-8].
A characterization of spherical series representations of the free group
KUHN, MARIA GABRIELLA;
1991
Abstract
The spherical series representations ofa free nonabelian group are here characterized s those irreducible unitary representations pos essing 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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