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

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作者
Eusebio Ariza García
Antonio Di Teodoro
Judith Vanegas
机构
[1] Universidad Simón Bolívar,Departamento de Matemáticas
[2] Yachay Tech,School of Mathematics
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关键词
Associated spaces; Clifford-type algebras; initial value problems; -monogenic functions; Primary 35F10; Secondary 35A10;
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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.
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页码:135 / 147
页数:12
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