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The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2024-10-21 , DOI: 10.1007/s00006-024-01359-2 Haiyan Wang, Wei Xia
中文翻译:
与 k-Cauchy-Fueter 运算符关联的 Plemelj-Sokhotski 公式
更新日期:2024-10-22
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2024-10-21 , DOI: 10.1007/s00006-024-01359-2 Haiyan Wang, Wei Xia
The Plemelj-Sokhotski formulas, which deal with limiting values of the Bochner-Martinelli type integral, are powerful tools for analyzing boundary value problems. This article aims to study the boundary behavior of the Bochner-Martinelli type integral formula for the k-Cauchy-Fueter operator. Specifically, we consider the Plemelj-Sokhotski formulas, which will extend the corresponding results in the complex analysis of several variables.
中文翻译:
与 k-Cauchy-Fueter 运算符关联的 Plemelj-Sokhotski 公式
Plemelj-Sokhotski 公式处理 Bochner-Martinelli 型积分的极限值,是分析边值问题的强大工具。本文旨在研究 k-Cauchy-Fueter 算子的 Bochner-Martinelli 型积分公式的边界行为。具体来说,我们考虑 Plemelj-Sokhotski 公式,它将在几个变量的复杂分析中扩展相应的结果。