摘要
讨论了二元复变解析函数在单位复超球区域上的某些边值问题,包括Dirichlet问题和Riemann-Hilbert问题,利用Cauchy公式、Plemelj公式以及级数展开的方法,我们对不同标数的情形,给出了所提问题可解的充分必要条件.
We mainly consider some boundary value problems for analytic functions of two complex variables in the unit ball of C^2. The stated boundary value problems include the Dirichlet problem and the Riemann-Hilbert problem. By using Cauchy formula, Plemelj formula and the method of series expansion, the necessary and sufficient conditions for the solvability of the stated problem are given for various index.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第23期144-148,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(10671207)
关键词
单位复超球
多复变
解析函数
边值问题
unit ball of C^2
,several complex variables
analytic functions
boundary valueproblems
