多复变函数论

因此，如何求Bergman核函数的显表达式一直是多复变函数论的一个重要的研究方向，至今仍吸引着许多数学家对此进行研究。

Therefore , computation of the Bergman kernel function by explicit formula is an important research direction in several complex variables .

这是多复变函数论中一个很重要的课题，特别是Cauchy积分与多复变奇异积分有着十分紧密的联系。

This is an important topic in the function theory of several complex variables . Especially , there is an intimate relation between the Cauchy integrals and the singular integrals of several complex variables .

黎曼几何的研究从局部发展到整体，产生了许多深刻的并在其它数学分支，如代数拓扑、偏微分方程、多复变函数论等以及现代物理学中有重要作用的结果。

The investigation of Riemannian geometry , from localization to globe , produced many important results , which can be used in many mathematical fields such as algebra topology , partial differential equation , multiple valued complex analysis as well as modern physics .

通过多复变函数论提出的一组偏微分方程，指出一些重要的研究结果及研究中的问题，包括解的中量性质，解的拓展性质，广义势解及问题的提法等。

Some principal results and some problems in qualitative researches through a partial differential equation system in several comples variables have been proposed , which involves : mean value properties , continuation of solutions , generalized potential solutions and the ' correct set ' for a partial differential equation system .