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.References
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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