全纯可延拓性与辐角原理
复变函数
2007-05-23 v1
摘要
本文利用辐角原理给出圆盘代数的如下刻画：单位圆T上的连续函数f可通过单位圆盘全纯延拓，当且仅当对每个使得f+P在T上无零点的多项式P，f+P绕T的辐角变化非负。
引用
@article{arxiv.math/0403446,
title = {Holomorphic extendibility and the argument principle},
author = {Josip Globevnik},
journal= {arXiv preprint arXiv:math/0403446},
year = {2007}
}
备注
To appear in "Complex Analysis and Dynamical Systems II (Proceedings of a conference held in honor of Professor Lawrence Zalcman's sixtieth birthday in Nahariya, Israel, June 9-12, 2003)", Contemp.Math