The argument principle and holomorphic extendibility to finite Riemann surfaces
复变函数
2007-05-23 v1
摘要
Let M be a finite Riemann surface and let A(bM) be the algebra of all continuous functions on bM which extend holomorphically through M. We prove that a continuous function F on bM belongs to A(bM) if for each f, g in A(bM) such that fF+g has no zero the change of argument of fF+g along bM is nonnegative.
引用
@article{arxiv.math/0508012,
title = {The argument principle and holomorphic extendibility to finite Riemann surfaces},
author = {Josip Globevnik},
journal= {arXiv preprint arXiv:math/0508012},
year = {2007}
}
备注
7 pages, to appear in Math.Z