A Decomposition Theorem for Null-Solutions to Polynomial Slice Dirac Operator

被引：0

作者：

Yuan, Hongfen ^{[1
]}

Ji, Tieguo ^{[1
]}

Ji, Hongyan ^{[1
]}

机构：

[1] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

来源：

NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

Almansi decomposition; Euler operator; Polynomial slice Dirac operator; MONOGENIC FUNCTIONS;

D O I：

10.1007/978-3-319-48812-7_34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a decomposition theorem for null-solutions to the polynomial slice Dirac operator is established by the generalized Euler operator in Rm+1: This is a generalization of the well-known Almansi decomposition theorem. In the sequel our decomposition will be used in the study of boundary value problems for slice monogenic functions.

引用

页码：269 / 275

页数：7

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