Functions on discrete sets holomorphic in the sense of Isaacs, or monodiffric functions of the first kind

被引：7

作者：

Kiselman, CO ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / Suppl 1期

关键词：

monodiffric functions of the first kind; discrete holomorphic functions; functions holomorphic in the sense of Isaacs; discrete Cauchy-Riemann operators; domains of holomorphy; Hartogs' phenomenon;

D O I：

10.1007/BF02884698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study discrete analogues of holomorphic functions of one and two variables, especially those that were called monodiffric functions of the first kind by Rufus Isaacs. Discrete analogues of the Cauchy-Riemann operators, domains of holomorphy in one discrete variable, and the Hartogs phenomenon in two discrete variables are investigated.

引用

页码：86 / 96

页数：11

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