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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Holomorphic continuation of generalized Jacquet integrals for degenerate principal series
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by Nolan R. Wallach
Represent. Theory 10 (2006), 380-398
Published electronically: September 29, 2006


This paper introduces a class of parabolic subgroups of real reductive groups (called “very nice”). For these parabolic subgroups we study the generalized Whittaker vectors for their degenerate principal series. It is shown that there is a holomorphic continuation of the Jacquet integrals associated with generic characters of their unipotent radicals. Also, in this context an analogue of the “multiplicity one” theorem is proved. Included is a complete classification of these parabolic subgroups (due to K. Baur and the author). These parabolic subgroups include all known examples of such continuations and multiplicity theorems.
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Bibliographic Information
  • Nolan R. Wallach
  • Affiliation: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
  • MR Author ID: 180225
  • Email:
  • Received by editor(s): February 18, 2004
  • Received by editor(s) in revised form: June 27, 2006
  • Published electronically: September 29, 2006
  • Additional Notes: The author was supported in part by an NSF Grant
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 380-398
  • MSC (2000): Primary 22E30, 22E45
  • DOI:
  • MathSciNet review: 2266697