| 旋量值函数的Plemelj公式 |
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| 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. |
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| 作者姓名： | 贺福利 库敏 杜金元 |
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| 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. |
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| 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. |
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| 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.
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| 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. |
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| Authors: | HE Fuli KU Min and DU Jinyuan |
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| Institution: | 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. |
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| Abstract: | In comparison with the Plemelj formulae for the Bochner-Martinelli-type integral
in the function theory of several complex variables, the authors define the Cauchy-type
integral and the Cauchy principal value for the spinor-valued functions in Hermite Clifford
analysis, and obtain the Plemelj formulae for the spinor-valued functions. Finally, the
authors figure out some Plemelj formulae for the Bochner-Martinelli-type integrals in the
special cases. |
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| Keywords: | Plemelj formula Spinor-valued function Bochner-Martinelli-type
integral |
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