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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
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by Didier Arnal and Jean Ludwig PDF
Proc. Amer. Math. Soc. 125 (1997), 1071-1080 Request permission

Abstract:

We give a new proof of a weak Paley-Wiener theorem for nilpotent Lie groups due to Lipsman and Rosenberg and we introduce a general notion of Q.U.P for any unimodular locally compact group.
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Additional Information
  • Didier Arnal
  • Affiliation: Département de Mathématiques, Université de Metz, Laboratoire Méthodes Mathé- matiques pour l’Analyse des Systèmes, URA CNRS 399, Ile du Saulcy, 57045 Metz cedex, France
  • Email: arnal@poncelet.univ-metz.fr
  • Jean Ludwig
  • Affiliation: Département de Mathématiques, Université de Metz, Laboratoire Méthodes Mathé- matiques pour l’Analyse des Systèmes, URA CNRS 399, Ile du Saulcy, 57045 Metz cedex, France
  • Email: ludwig@poncelet.univ-metz.fr
  • Received by editor(s): June 12, 1995
  • Received by editor(s) in revised form: September 21, 1995
  • Communicated by: Roe Goodman
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1071-1080
  • MSC (1991): Primary 43A30
  • DOI: https://doi.org/10.1090/S0002-9939-97-03608-3
  • MathSciNet review: 1353372