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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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Poisson integrals associated to Dunkl operators for dihedral groups
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by Florence Scalas PDF
Proc. Amer. Math. Soc. 133 (2005), 1713-1720 Request permission

Abstract:

In this paper we study the boundary behavior of Poisson integrals associated to Dunkl differential-difference operators for dihedral groups and the boundary integral representations for functions on the unit disc of $\mathbb {C}$ annihilated by the Laplace operator corresponding to these differential-difference operators.
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Additional Information
  • Florence Scalas
  • Affiliation: Université de Provence, LATP U.M.R. C.N.R.S. 6632, C.M.I., 39, rue F. Joliot Curie, 13453 Marseille cedex 13, France
  • Email: scalas@cmi.univ-mrs.fr
  • Received by editor(s): October 21, 2003
  • Received by editor(s) in revised form: February 5, 2004
  • Published electronically: December 6, 2004
  • Communicated by: Juha M. Heinonen
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1713-1720
  • MSC (2000): Primary 30E25, 31A10, 31A20; Secondary 31A05
  • DOI: https://doi.org/10.1090/S0002-9939-04-07703-2
  • MathSciNet review: 2120249