In this paper we present briefly basics of the generation theory for one-parameter semigropus of holomorphic mappings in the one dimensional case and point out some new trends and problems related to this issue. A special attention we pay to the geometric properties of the nonlinear resolvent of holomorphic generators in the spirit of classical geometric function theory.

中文翻译：

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全纯映象的非线性分解和刚性

在本文中，我们简要介绍了在一维情况下全参数映射一参数半群生成理论的基础，并指出了与此问题相关的一些新趋势和新问题。本着经典几何函数论的精神，我们特别关注全纯发电机非线性分解体的几何特性。