Complex Dunkl operators
Complex Variables
2009-12-31 v1 Classical Analysis and ODEs
Abstract
The real theory of the Dunkl operators has been developed very extensively, while there still lacks the corresponding complex theory. In this paper we introduce the complex Dunkl operators for certain Coxeter groups. These complex Dunkl operators have the commutative property, which makes it possible to establish a corresponding complex analysis of Dunkl operators.
Cite
@article{arxiv.0912.5196,
title = {Complex Dunkl operators},
author = {Guangbin Ren and Helmuth R. Malonek},
journal= {arXiv preprint arXiv:0912.5196},
year = {2009}
}
Comments
13 pages