Associated Spaces in Clifford Analysis

被引：0
|
作者：
Yanett Bolívar
Licet Lezama
Luis Gerardo Mármol
Judith Vanegas
机构：
[1] Universidad de Oriente,Departamento de Matemática
[2] Universidad Simón Bolívar,Departamento de Matemática
来源：
Advances in Applied Clifford Algebras | 2015年 / 25卷
关键词：
Associated spaces; Monogenic functions; Initial value problems; Clifford algebras;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we give a characterization of all linear first order partial differential operators with Clifford-algebra-valued coefficients that are associated to the generalized Cauchy-Riemann operator. In order to achieve our goal, we make use of a rule for D(u·v), where u and v are Clifford-algebra-valued functions. As an application, the solvability of initial value problems involving these operators is shown.
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页码：539 / 551
页数：12
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