Holomorphic and harmonic approximation on Riemann surfaces

被引:0
作者
Boivin, A [1 ]
Gauthier, PM [1 ]
机构
[1] Univ Western Ontario, Dept Math, London, ON N4G 5B7, Canada
来源
APPROXIMATION, COMPLEX ANALYSIS, AND POTENTIAL THEORY | 2001年 / 37卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The most important result on open Riemann surfaces is the analog of Runge's theorem on approximation by complex polynomials, due to Behnke and Stein. In this course, we begin by a discussion of Runge's theorems on polynomial and rational approximation on compact sets. This theory is refined and extended in various ways to Riemann surfaces. We also introduce a corresponding theory of harmonic approximation.
引用
收藏
页码:107 / 128
页数:22
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