多维复空间中的部分共形映射
Partially - conformal mappings in multidimensional complex spaces
摘要：
本文对复变数理论的基本概念：复数的模和辐角概念进行了向量推广。作者将全纯函数和映射的概念推广到无限维复空间。这种方法使我们能够推广几何函数论的几个著名的结果的情况下，无穷维复空间。特别地，作者总结了无限维复空间上S类函数理论的一些已知定理。
英文摘要：
The paper proposes a vector generalization of the basic concepts of the theory of complex variable: the concept of modulus and argument of complex number. The author introduces some generalizations of the notion of holomorphic functions and mappings to the case of infinite-dimensional complex spaces. This approach allows us to generalize several well-known results of geometric function theory to the case of infinite-dimensional complex spaces. In particular, the author summarizes a number of known theorems on the theory of functions of class S on infinite-dimensional complex space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
