BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

doi:10.1016/S0252-9602(09)60022-9

数学物理学报(英文版)

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BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

杜金元；许娜；张忠祥

Department of Mathematics, Wuhan University, Wuhan 430072, China

收稿日期:2006-12-30 修回日期:2008-02-10 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 杜金元
基金资助:
Project supported by NNSF of China (10471107) and RFDP of Higher Eduction of China (20060486001)

BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

Du Jinyuan; Xu Na; Zhang Zhongxiang

Department of Mathematics, Wuhan University, Wuhan 430072, China

Received:2006-12-30 Revised:2008-02-10 Online:2009-02-20 Published:2009-02-20
Contact: Du Jinyuan

摘要/Abstract

摘要：

In this article, the authors discussed the boundary behavior for the Cauchy-
type integrals with values in a Clifford algebra, obtained some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems for the Cauchy-type integral taken over a smooth surface by rather simple method.

关键词: Clifford algebra, Cauchy-type integral, Sochocki–Plemelj formula, Privalov&ndash,
Muskhelishvili theorem

Abstract:

Key words: Clifford algebra, Cauchy-type integral, Sochocki–Plemelj formula, Privalov&ndash,
Muskhelishvili theorem

中图分类号:

30G35

杜金元;许娜;张忠祥. BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS[J]. 数学物理学报(英文版), 2009, 29(1): 210-224.

Du Jinyuan; Xu Na; Zhang Zhongxiang. BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS[J]. Acta mathematica scientia,Series B, 2009, 29(1): 210-224.

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BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS

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