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

被引：0
|
作者：
Christer O.Kiselman
机构：
[1] P.O.Box 480
[2] SE-751 06 Uppsala
[3] Sweden
[4] Department of Mathematics Uppsala University
来源：
Science China Mathematics | 2005年 / S1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：
暂无
中图分类号：
O174 [函数论];
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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