Integral Formula of Isotonic Functions over Unbounded Domain in Clifford Analysis

被引：0
|
作者：
Ku Min
机构：
[1] Wuhan University,School of Math. and Statistics
来源：
Advances in Applied Clifford Algebras | 2010年 / 20卷
关键词：
30G35; 32A25; 58A10; Clifford analysis; isotonic function; unbounded domain; integral representation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we mainly study the so-called isotonic Dirac system over more general types of unbounded domains in Euclidean space of even dimension. In such systems different Dirac operators in the half dimension act from the left and from the right on the functions considered. We obtain the integral representation of isotonic functions satisfying the decay condition over the unbounded domains, and show that the integral representation formula over the unbounded domains for holomorphic functions of several complex variables and for Hermitean monogenic functions may be derived from it.
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页码：57 / 70
页数：13
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