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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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On the uniqueness of Fourier Jacobi models for representations of $U(n,1)$
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by Ehud Moshe Baruch and Stephen Rallis PDF
Represent. Theory 11 (2007), 1-15 Request permission

Abstract:

We show that every irreducible unitary representation of $U(n,1)$, has at most one Fourier Jacobi model.
References
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Additional Information
  • Ehud Moshe Baruch
  • Affiliation: Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel
  • Email: embaruch@math.technion.ac.il
  • Stephen Rallis
  • Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
  • Email: haar@math.ohio-state.edu
  • 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
  • © Copyright 2007 American Mathematical Society
  • Journal: Represent. Theory 11 (2007), 1-15
  • MSC (2000): Primary 22E50; Secondary 11F70
  • DOI: https://doi.org/10.1090/S1088-4165-07-00298-1
  • MathSciNet review: 2276364