Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1052-1061.

• Articles • Previous Articles     Next Articles

Fundamental Solutions of Iterated Dunkl-Dirac Operators and Applications

 FEI Ming-Gang   

  1. School of Mathematical Sciences, University of Electronic |Science and Technology of China, Chengdu |610054
  • Received:2012-04-07 Revised:2013-05-26 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    葡萄牙FCT博士后项目(SFRH/BPD/41730/2007)和电子科技大学中央高校科研业务费(ZYGX2010J107)资助

Abstract:

In this paper we first present the fundamental solutions of  the iterated Dunkl Laplacian and Dunkl-Dirac operators, and then for applications, we obtain a Borel-Pompeiu formula and a Cauchy integral formula for Dunkl-monogenic functions.

Key words: Reflection group, Dunkl operator, Dunkl-Dirac operator, Dunkl transform, Cauchy integral formula

CLC Number: 

  • 33C80
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