RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

被引：0

作者：

姜乐 ^{[1
]}

杜金元 ^{[1
]}

机构：

[1] School of Mathematics and Statistics,Wuhan University

来源：

Acta Mathematica Scientia | 2012年 / 32卷 / 05期

关键词：

Riemann boundary value problem; harmonic function; bi-harmonic function; Plemelj formula;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

In this paper,we study the R m(m>0) Riemann boundary value problems for regular functions,harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(Vn,n).By using Plemelj formula,we get the solutions of R m(m>0) Riemann boundary value problems for regular functions.Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions,we obtain the solutions of R m(m>0) Riemann boundary value problems for harmonic functions and bi-harmonic functions.

引用

页码：2029 / 2049

页数：21

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