| 摘要: |
| 本文研究了取值在Clifiord代数上双正则函数及调和函数在超复平面上积分表示的问题.利用构造核函数的方法,获得了双正则函数及调和函数在超复平面上的积分表示公式,这些结果推广了Clifiord分析中正则函数在超复平面上的积分表示公式. |
| 关键词: Clifiord代数 积分表示 双正则函数 调和函数 |
| DOI： |
| 分类号:O175.5 |
| 基金项目:Supported by National Natural Science Foundation of China (11471250) |
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| INTEGRAL REPRESENTATIONS FOR BI-REGULAR FUNCTIONS AND HARMONIC FUNCTIONS OVER PLANE IN CLIFFORD ANALYSIS |
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ZHANG Zhong-xiang, GAO Ming-feng
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| In this article, we study the integral representations over hyper-complex plane П for bi-regular functions and harmonic functions with values in a Clifford algebra. By constructing the kernel functions, we give the integral representation formulas over hyper-complex plane П for bi-regular functions and harmonic functions with values in a Clifford algebra. These results are extensions of integral representations over hyper-complex plane П for regular functions. |
| Key words: Clifford algebra integral representation bi-regular function harmonic function |
