First Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras

被引：3

作者：

Ariza, Eusebio ^{[1
]}

Vanegas, Judith ^{[1
]}

Vargas, Franklin ^{[2
]}

机构：

[1] Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Caracas, Venezuela

[2] Univ Simon Bolivar, Dept Comp Cient & Estadist, Caracas, Venezuela

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2016年 / 26卷 / 01期

关键词：

Associated spaces; Initial value problems; Parameter-depending Clifford algebras; INITIAL-VALUE PROBLEMS;

D O I：

10.1007/s00006-015-0577-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is aimed at finding all linear first order partial differential operators with parameter-depending Clifford-algebra-valued coefficients, that are associated to the generalized Cauchy-Riemann operator. In order to obtain the conditions on the coefficients of , a Leibniz rule for functions with values in a more general Clifford-type algebra is proved. Using the theory of associated spaces, we show the construction of solutions of initial value problems involving these operators.

引用

页码：13 / 29

页数：17

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