On a Mixed Fischer Decomposition in Clifford Analysis

Juan Bory Reyes; Hennie De Schepper; Alí Guzmán Adán; Frank Sommen

doi:10.1007/s11785-016-0574-z

On a Mixed Fischer Decomposition in Clifford Analysis

Juan Bory Reyes, Hennie De Schepper, Alí Guzmán Adán, Frank Sommen

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

2 Scopus citations

Abstract

In this paper, we investigate the existence of a mixed Fischer decomposition in a generalized Clifford analysis setting, where a system of Dirac equations is considered, associated to different orthogonal bases (or structural sets) in Euclidean space.

Original language	English
Pages (from-to)	359-374
Number of pages	16
Journal	Complex Analysis and Operator Theory
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s11785-016-0574-z
State	Published - 1 Feb 2017

Keywords

Clifford analysis
Dirac operator
Fischer decomposition
Structural set

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title = "On a Mixed Fischer Decomposition in Clifford Analysis",

abstract = "In this paper, we investigate the existence of a mixed Fischer decomposition in a generalized Clifford analysis setting, where a system of Dirac equations is considered, associated to different orthogonal bases (or structural sets) in Euclidean space.",

keywords = "Clifford analysis, Dirac operator, Fischer decomposition, Structural set",

author = "Reyes, {Juan Bory} and {De Schepper}, Hennie and Ad{\'a}n, {Al{\'i} Guzm{\'a}n} and Frank Sommen",

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AU - Reyes, Juan Bory

AU - De Schepper, Hennie

AU - Adán, Alí Guzmán

AU - Sommen, Frank

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N2 - In this paper, we investigate the existence of a mixed Fischer decomposition in a generalized Clifford analysis setting, where a system of Dirac equations is considered, associated to different orthogonal bases (or structural sets) in Euclidean space.

AB - In this paper, we investigate the existence of a mixed Fischer decomposition in a generalized Clifford analysis setting, where a system of Dirac equations is considered, associated to different orthogonal bases (or structural sets) in Euclidean space.

KW - Clifford analysis

KW - Dirac operator

KW - Fischer decomposition

KW - Structural set

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DO - 10.1007/s11785-016-0574-z

M3 - Artículo

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SN - 1661-8254

VL - 11

SP - 359

EP - 374

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

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On a Mixed Fischer Decomposition in Clifford Analysis

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