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

Eusebio Ariza García; Antonio Di Teodoro; Judith Vanegas

doi:10.1007/s00006-015-0583-4

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

Eusebio Ariza García^*
, Antonio Di Teodoro
, Judith Vanegas

^*Corresponding author for this work

Universidad Simón Bolívar
Universidad Yachay Tech

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	135-147
Number of pages	13
Journal	Advances in Applied Clifford Algebras
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s00006-015-0583-4
State	Published - 1 Mar 2017
Externally published	Yes

Keywords

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

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10.1007/s00006-015-0583-4

Cite this

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title = "First Order Differential Operators Associated to the Space of q-Monogenic Functions",

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",

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AU - Ariza García, Eusebio

AU - Di Teodoro, Antonio

AU - Vanegas, Judith

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Y1 - 2017/3/1

N2 - 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.

AB - 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.

KW - Associated spaces

KW - Clifford-type algebras

KW - initial value problems

KW - q-monogenic functions

UR - https://www.scopus.com/pages/publications/84937882493

U2 - 10.1007/s00006-015-0583-4

DO - 10.1007/s00006-015-0583-4

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EP - 147

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 1

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

Abstract

Keywords

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