Some Rarita-Schwinger Type Operators

被引：12
|
作者：
Dunkl, Charles F. [1 ]
Li, Junxia [2 ]
Ryan, John [2 ]
Van Lancker, Peter [3 ]
机构：
[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
[2] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
[3] Univ Ghent, Dept Math Anal, Clifford Res Grp, B-9000 Ghent, Belgium
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2013年 / 13卷 / 03期
关键词：
Clifford algebra; Almansi-Fischer decomposition; Conformal transformations; Inner product;
D O I：
10.1007/s40315-013-0027-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a generalization of the classical Rarita-Schwinger type operators and construct their fundamental solutions. We give some basic integral formulas related to these operators. We also establish that the projection operators appearing in the Rarita-Schwinger operators and the Rarita-Schwinger equations are conformally invariant. We further obtain the intertwining operators for other operators related to the Rarita-Schwinger operators under actions of the conformal group.
引用
收藏
页码：397 / 424
页数：28
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