Holomorphic Functions in Generalized Cayley-Dickson Algebras

被引：7
|
作者：
Flaut, Cristina [1 ]
Shpakivskyi, Vitalii [2 ]
机构：
[1] Ovidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania
[2] Natl Acad Sci Ukraine, Inst Math, Dept Complex Anal & Potential Theory, UA-01601 Kiev 4, Ukraine
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2015年 / 25卷 / 01期
关键词：
Cayley-Dickson and generalized Cayley-Dickson algebras; Dirac operator; holomorphic functions;
D O I：
10.1007/s00006-014-0479-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigated some properties of holomorphic functions (belonging to the kernel of the Dirac operator) defined on domains of the real Cayley-Dickson algebras. For this purpose, we study first some properties of these algebras, especially multiplication tables for certain elements of the basis. Using these properties, we provided an algorithm for constructing examples of the class of functions under consideration.
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页码：95 / 112
页数：18
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