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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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$H^*$-algebras and quantization of para-Hermitian spaces
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by Gerrit van Dijk and Michael Pevzner PDF
Proc. Amer. Math. Soc. 136 (2008), 2253-2260 Request permission

Abstract:

In the present note we describe a family of $H^*$-algebra structures on the set $L^2(X)$ of square integrable functions on a rank-one para-Hermitian symmetric space $X$.
References
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Additional Information
  • Gerrit van Dijk
  • Affiliation: Mathematish Instituut, Universiteit Leiden, P.O. Box 9512, NL-2300 RA Leiden, The Netherlands
  • Email: dijk@math.leidenuniv.nl
  • Michael Pevzner
  • Affiliation: Laboratoire de Mathématiques, UMR CNRS 6056, Université de Reims, Campus Moulin de la Housse BP 1039, F-51687, Reims, France
  • Email: pevzner@univ-reims.fr
  • Received by editor(s): March 5, 2007
  • Published electronically: February 14, 2008
  • Communicated by: Mikhail Shubin
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2253-2260
  • MSC (2000): Primary 22E46, 43A85, 46B25
  • DOI: https://doi.org/10.1090/S0002-9939-08-09219-8
  • MathSciNet review: 2383532