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

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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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",

author = "{Ariza Garc{\'i}a}, Eusebio and {Di Teodoro}, Antonio and Judith Vanegas",

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AU - Vanegas, Judith

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KW - Associated spaces

KW - Clifford-type algebras

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

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Keywords

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