节点文献

HIGHER ORDER SINGULAR INTEGRAL EQUATIONS ON COMPLEX HYPERSPHERE

推荐 CAJ下载
PDF下载
不支持迅雷等下载工具，请取消加速工具后下载。

【Author】 Chen Lping Zhong Tongde School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

【机构】 School of Mathematical Sciences,Xiamen University；

【摘要】 A theory of a class of higher order singular integral under the operator(Lf)(u)=1/(ū [ū1 f u 1(u) 1 f ū1(u)+f(u)] 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.更多还原

【Abstract】 A theory of a class of higher order singular integral under the operator(Lf)(u)=1/(ū [ū1 f u 1(u) 1 f ū1(u)+f(u)] 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.更多还原

【关键词】 complex hypersphere； Cauchy integral； higher order singular integral； Hadamard principal value； permutation formula；
【Key words】 complex hypersphere； Cauchy integral； higher order singular integral； Hadamard principal value； permutation formula；

【基金】 supported by the Natural Science Foundation of Fujian Province of China(S0850029,2008J0206);Innovation Foundation of Xiamen University(XDKJCX20063019),;the National Science Foundation of China (10771174)

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2010年05期

【分类号】O175.5
【被引频次】1
【下载频次】45

知网节下载

节点文献中：

本文链接的文献网络图示:

本文的引文网络

节点文献