A note on higher order Dirac operators in Clifford analysis-Reference-Cited by-同舟云学术

A note on higher order Dirac operators in Clifford analysis

Published:2024-06-26 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Alfonso Santiesteban Daniel¹^ORCID

Affiliation:

1. Faculty of Mathematics , Autonomous University of Guerrero , Chilpancingo de los Bravo , Mexico

Abstract

Abstract In the framework of Clifford analysis, we study higher order Dirac operators constructed with k-vectors. We find a necessary and sufficient condition to determine whether a function cancels them.

Funder

Consejo Nacional de Humanidades, Ciencias y Tecnologías

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2024/pdf

Reference23 articles.

1. R. Abreu Blaya, D. Alfonso Santiesteban, J. Bory Reyes and A. Moreno García, Inframonogenic decomposition of higher-order Lipschitz functions, Math. Methods Appl. Sci. 45 (2022), no. 9, 4911–4928.

2. R. Abreu Blaya, J. Bory Reyes, A. Guzmán Adán and U. Kähler, On the Π-operator in Clifford analysis, J. Math. Anal. Appl. 434 (2016), no. 2, 1138–1159.

3. D. Alfonso Santiesteban and R. Abreu Blaya, Isomorphisms of partial differential equations in Clifford analysis, Adv. Appl. Clifford Algebr. 32 (2022), no. 1, Paper No. 10.

4. D. Alfonso Santiesteban, R. Abreu Blaya and M. P. Árciga Alejandre, On a generalized Lamé–Navier system in ℝ 3 \mathbb{R}^{3} , Math. Slovaca 72 (2022), no. 6, 1527–1540.

5. D. Alfonso Santiesteban, R. Abreu Blaya and M. P. Árciga Alejandre, On ( ϕ , ψ ) (\phi,\psi) -inframonogenic functions in Clifford analysis, Bull. Braz. Math. Soc. (N. S.) 53 (2022), no. 2, 605–621.