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Representation Theory

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On the uniqueness of Fourier Jacobi models for representations of $U(n,1)$

Authors: Ehud Moshe Baruch and Stephen Rallis
Journal: Represent. Theory 11 (2007), 1-15
MSC (2000): Primary 22E50; Secondary 11F70
Published electronically: January 5, 2007
MathSciNet review: 2276364
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Abstract: We show that every irreducible unitary representation of $U(n,1)$, has at most one Fourier Jacobi model.

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Additional Information

Ehud Moshe Baruch
Affiliation: Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel

Stephen Rallis
Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210

Keywords: Fourier Jacobi, invariant distributions
Received by editor(s): October 28, 2005
Received by editor(s) in revised form: September 18, 2006
Published electronically: January 5, 2007
Additional Notes: Research of the second author was partially supported by the NSF
Article copyright: © Copyright 2007 American Mathematical Society