A sufficient condition for locally open polyanalytic functions

被引：2
|
作者：
Daghighi, Abtin [1 ]
机构：
[1] Linkoping Univ, SE-58183 Linkoping, Sweden
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 10期
关键词：
Polyanalytic; q-analytic; open map;
D O I：
10.1080/17476933.2018.1550081
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a q-analytic function with only isolated critical points is locally open. The converse of the main result is false in the sense that there are q-analytic functions that are locally open but have non-discrete critical sets.
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页码：1733 / 1738
页数：6
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