Singular integral operators and singular quadrature operators associated with singular integral equations

被引：6

作者：

Du, JY ^{[1
]}

机构：

[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1998年 / 18卷 / 02期

关键词：

singular integral operators; singular quadrature operators; discretization matrices;

D O I：

10.1016/S0252-9602(17)30757-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：227 / 240

页数：14

共 26 条

[1]

DU J, 1985, J CENTRAL CHINA TEAC, V2, P15

[2]

Du J Y., 1986, J MATH PRC, V6, P439

[3]

Du Jinyuan, 1988, ACTA MATH SCI, V8, P33

[4]

Du Jinyuan, 1985, CHINESE MATH ANN A, V6, P625