克利福德分析中普莱梅利-索霍基公式的新版本

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2023-12-26 DOI:10.1007/s00006-023-01310-x

Yufeng Wang, Zhongxiang Zhang

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引用次数: 0

摘要

本文给出了实克利福德分析中较弱条件下的一些新版本的Plemelj-Sochocki公式，与罗和杜（Adv Appl Clifford Algebras 27:2531-2583, 2017）的结果不同。通过新版本的Plemelj-Sochocki公式，我们可以给出罗和杜（2017）中得到的边界值对称差的广义Plemelj-Sochocki公式的不同证明，经典的Plemelj-Sochocki公式也可以得到。

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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New Versions of the Plemelj–Sochocki Formula in Clifford Analysis

In this paper, we give some new versions of the Plemelj–Sochocki formula under weaker condition in real Clifford Analysis which are different from the result in Luo and Du (Adv Appl Clifford Algebras 27:2531-2583, 2017). By the new versions of the Plemelj–Sochocki formula, we can give a different proof of the generalized Plemelj–Sochocki formula for the symmetric difference of boundary values, which is obtained in Luo and Du (2017), the classical Plemelj–Sochocki formula can be also derived.

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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.