SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 227-240.

• 论文 • 上一篇

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

杜金元

Department of Mathematics, Wuhan University, Wuhan 430072, China

收稿日期:1996-10-10 出版日期:1998-06-25 发布日期:1998-06-25
基金资助:
Supported by the National Natural Science Foundation of China and the Foundation of the State Education Commission of China

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Du Jinyuan

Department of Mathematics, Wuhan University, Wuhan 430072, China

Received:1996-10-10 Online:1998-06-25 Published:1998-06-25
Supported by:
Supported by the National Natural Science Foundation of China and the Foundation of the State Education Commission of China

摘要/Abstract

摘要： In this paper, the author discusses some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, and obtain some useful properties for them. These results improve both the classical theory of singular integral equation and the classical theory of singular quadrature.

关键词: Singular integral operators, singular quadrature operators, discretization matrices

Abstract: In this paper, the author discusses some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, and obtain some useful properties for them. These results improve both the classical theory of singular integral equation and the classical theory of singular quadrature.

Key words: Singular integral operators, singular quadrature operators, discretization matrices

杜金元. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(2): 227-240.

Du Jinyuan. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. Acta mathematica scientia,Series B, 1998, 18(2): 227-240.

[1]	贺福利; 杜金元. AN OPERATORIAL APPROACH TO SINGULAR INTEGRAL EQUATIONS 0F A MODIFIED TYPE[J]. 数学物理学报(英文版), 2008, 28(4): 763-769.
[2]	杜金元. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 1995, 15(2): 219-234.

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

Metrics

本文评价

推荐阅读 10