The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-10-21 DOI:10.1007/s00006-024-01359-2

Haiyan Wang, Wei Xia

引用次数: 0

Abstract

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.

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与 k-Cauchy-Fueter 算子相关的 Plemelj-Sokhotski 公式

处理 Bochner-Martinelli 型积分极限值的 Plemelj-Sokhotski 公式是分析边界值问题的有力工具。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，我们考虑了 Plemelj-Sokhotski 公式，这将扩展多变量复分析中的相应结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.