On a generalization of Fueter's theorem

被引：2
|
作者：
Sommen, F
机构：
[1] State Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium
[2] FWO, Vlaardingen, Netherlands
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2000年 / 19卷 / 04期
关键词：
Dirac operators; Clifford analysis; Vekua systems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss a generalization of Fueter's theorem which states that whenever f(x(o),(x) under bar) is holomorphic in x(o) + (x) under bar, then it satisfies D square f = 0, D = partial derivative (xo) + i partial derivative (x1) + j partial derivative (x2) + k partial derivative (x3) being the Fueter operator.
引用
收藏
页码：899 / 902
页数：4
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