| 贺福利,库敏,杜金元.旋量值函数的Plemelj公式[J].数学年刊A辑,2015,36(4):429~438 |
| 旋量值函数的Plemelj公式 |
| Plemelj Formulae for Spinor-Valued Functions |
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| DOI： |
| 中文关键词: Plemelj公式, 旋量值函数, Bochner-Martinelli型积分 |
| 英文关键词:Plemelj formula, Spinor-valued function, Bochner-Martinelli-type
integral |
| 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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| 中文摘要: |
| 对比于多复变中的Bochner-Martinelli型积分的Plemelj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. |
| 英文摘要: |
| 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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