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The Dunkl intertwining operator
- Source :
-
Journal of Functional Analysis . Apr2009, Vol. 256 Issue 8, p2697-2709. 13p. - Publication Year :
- 2009
-
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]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 256
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 37150397
- Full Text :
- https://doi.org/10.1016/j.jfa.2008.09.018