Article ID Journal Published Year Pages File Type
4664174 Acta Mathematica Scientia 2010 8 Pages PDF
Abstract

A theory of a class of higher order singular integral under the operator is given. We transform the higher order singular integral to a usual Cauchy integral, extend the permutation formula of the higher order singular integral deduced by Qian and Zhong in [4] to a general case, and discuss the regularization problem of the higher order singular integral equations with Cauchy kernel and variable coefficients on complex hypersphere.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)