定义在Riemann surfaces任意子集上的函数的共形扩张
Conformal extensions of functions defined on arbitrary subsets of Riemann surfaces
摘要：
对于定义在黎曼曲面任意子集上的函数，给出了保形扩张的条件。一个民间的推论是，${\mathbb C}$中解析弧的两个常见定义是等价的。关键词：解析延拓;解析弧.
英文摘要：
For a function defined on an arbitrary subset of a Riemann surface, we give conditions which allow the function to be extended conformally. One folkloric consequence is that two common definitions of an analytic arc in ${\mathbb C}$ are equivalent. Key-words: analytic continuation; analytic arc.
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