Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian

Fei M.; Cerejeiras P.; K?hler U.

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Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian

机译：球形Dunkl单态性和Dunkl-Laplacian的因式分解

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In this paper, we consider and study a factorization of the Dunkl-Laplacian in terms of spherical coordinates. This allows for the construction of a direct sum decomposition of spherical Dunkl-harmonics. By explicit representation in spherical coordinates of Dunkl-harmonics, one obtains explicit projection operators from Dunkl-harmonics to inner (resp. outer) Dunkl-monogenics. Concrete examples of spherical Dunkl-monogenics will be given at the end.

机译：在本文中，我们考虑并研究了球坐标系下的Dunkl-Laplacian分解。这允许构造球形Dunkl谐波的直接和分解。通过在Dunkl谐函数的球坐标中进行显式表示，可以得到从Dunkl谐函数到内部（分别是外部）Dunkl单基因的显式投影算子。最后将给出球形Dunkl单基因组学的具体示例。

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《Journal of physics, A. Mathematical and theoretical》 |2010年第44期|共14页
作者
Fei M.; Cerejeiras P.; K?hler U.;
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1. Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian [J] . Fei M., Cerejeiras P., K?hler U. Journal of physics, A. Mathematical and theoretical . 2010,第44期

机译：球形Dunkl单态性和Dunkl-Laplacian的因式分解
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Spherical Dunkl-monogenics and a factorization of the Dunkl-Laplacian

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