First Order Differential Operators Associated to the Space of q-Monogenic Functions

被引：0

作者：

Ariza Garcia, Eusebio ^{[1
]}

Di Teodoro, Antonio ^{[2
]}

Vanegas, Judith ^{[1
]}

机构：

[1] Univ Simon Bolivar, Dept Matemat, Caracas, Venezuela

[2] Yachay Tech, Sch Math, Yachay City Of Knowledge, Ecuador

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 01期

关键词：

Associated spaces; Clifford-type algebras; initial value problems; q-monogenic functions; INITIAL-VALUE PROBLEMS;

D O I：

10.1007/s00006-015-0583-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we characterize all the first order differential operators, with paravector coefficients, associated with the q-monogenic operator. Then initial value problems involving these operators are always solvable provided that the initial function is a q-monogenic function. The underlying algebra is of Clifford type.

引用

页码：135 / 147

页数：13

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