Generalized Almansi Expansions in Superspace

被引：0
|
作者：
Yuan, Hongfen [1 ]
机构：
[1] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2016年 / 16卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Superspace; Polynomial Dirac operator; Almansi expansion; Riquier problem;
D O I：
10.1007/s40315-015-0153-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first study an expansion for the operators (partial derivative(x) - lambda)(k), where partial derivative(x) is the Dirac operator in superspace and lambda is a complex number. Then we investigate expansions for polynomial Dirac operators in superspace. These expansions are regarded as generalized Almansi expansions in superspace. As an application of the expansions, the modified Riquier problem in superspace is considered.
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页码：515 / 527
页数：13
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