THE BIAXIAL FUETER THEOREM

被引：7
|
作者：
Eelbode, David [1 ]
机构：
[1] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 201卷 / 01期
关键词：
Dirac Operator; Jacobi Polynomial; Monogenic Function; Spin Group; Irreducible Module;
D O I：
10.1007/s11856-014-0023-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with a special type of solutions for the Dirac operator on R-m, which can be obtained through a biaxial generalisation of the classical Fueter Theorem. This is a result which allows to generate zonal solutions for the Dirac equation starting from arbitrary holomorphic functions in the complex plane. Invoking operator identities for Jacobi polynomials, it is shown how this procedure can be extended to more general splittings than the one usually considered in the literature.
引用
收藏
页码：233 / 245
页数：13
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