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| 旋量值函数的Plemelj公式 | |
| 引用本文： | 贺福利,库敏,杜金元. 旋量值函数的Plemelj公式[J]. 数学年刊A辑(中文版), 2015, 36(4): 429-438 |
| 作者姓名： | 贺福利 库敏 杜金元 |
| 作者单位： | 中南大学数学与统计学院, 长沙 410083.,CIDMA, Department of Mathematics, University of Aveiro, Portugal.,武汉大学数学与统计学院, 武汉 430072. |
| 基金项目： | 本文受到国家自然科学基金 (No.11301547, No.11371375)和葡萄牙科技基金(No.OE/MAT/UI4106/ 2014)的资助. |
| 摘 要： | 对比于多复变中的Bochner-Martinelli型积分的Plernelj公式,定义了艾米尔特Clifford分析中旋量值函数的Cauchy型积分及Cauchy主值积分,得到了旋量值函数的Plemelj公式,最后给出一些特殊情形的Bochner-Martinelli型积分的Plemelj公式. |
| 关 键 词： | Plemelj公式 旋量值函数 Bochner-Martinelli型积分 |
Plemelj Formulae for Spinor-Valued Functions |
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| HE Fuli,KU Min and DU Jinyuan. Plemelj Formulae for Spinor-Valued Functions[J]. Chinese Annals of Mathematics, 2015, 36(4): 429-438 | |
| Authors: | HE Fuli KU Min DU Jinyuan |
| Affiliation: | School of Mathematics and Statistics, Central South University, Changsha 410083, China,CIDMA, Department of Mathematics, University of Aveiro, Portugal. and School of Mathematics and Statistics, Wuhan University, Wuhan 430072,China. |
| Abstract: | In comparison with the Plemelj formulae for the Bochner-Martinelli-type integralin the function theory of several complex variables, the authors define the Cauchy-typeintegral and the Cauchy principal value for the spinor-valued functions in Hermite Cliffordanalysis, and obtain the Plemelj formulae for the spinor-valued functions. Finally, theauthors figure out some Plemelj formulae for the Bochner-Martinelli-type integrals in thespecial cases. |
| Keywords: | Plemelj formula Spinor-valued function Bochner-Martinelli-typeintegral |
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