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Advances in Applied Clifford Algebras

, Volume 27, Issue 1, pp 135–147 | Cite as

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

  • Eusebio Ariza García
  • Antonio Di Teodoro
  • Judith Vanegas
Article

Abstract

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.

Keywords

Associated spaces Clifford-type algebras initial value problems q-monogenic functions 

Mathematics Subject Classification

Primary 35F10 Secondary 35A10 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad Simón BolívarCaracasVenezuela
  2. 2.School of MathematicsYachay TechYachay City of KnowledgeEcuador

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