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.
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页码：86 / 96
页数：11
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