1. The Dunkl intertwining operator
- Author
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Maslouhi, M. and Youssfi, E.H.
- Subjects
- *
OPERATOR theory , *COXETER groups , *ANALYTIC functions , *ORTHOGONALIZATION , *MATHEMATICAL formulas , *ESTIMATION theory - Abstract
Abstract: We consider Dunkl theory associated to a general Coxeter group G. A new characterization of the regularity of the weight k is given and a new construction, devoid of Kozul complex theory, of the Dunkl intertwining operator is established. We apply our results to derive sharp estimates of the Dunkl kernel. We give explicit formula in the case of orthogonal positive root systems. [Copyright &y& Elsevier]
- Published
- 2009
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