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

^*Autor correspondiente de este trabajo

Universidad Simón Bolívar
Universidad Yachay Tech

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	135-147
Número de páginas	13
Publicación	Advances in Applied Clifford Algebras
Volumen	27
N.º	1
DOI	https://doi.org/10.1007/s00006-015-0583-4
Estado	Publicada - 1 mar. 2017
Publicado de forma externa	Sí

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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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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

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

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