Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces

Ricardo Abreu Blaya; Juan Bory Reyes

doi:10.4064/ap110-2-1

Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces

Ricardo Abreu Blaya, Juan Bory Reyes

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

1 Scopus citations

Abstract

In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝⁿ is considered.

Original language	English
Pages (from-to)	101-108
Number of pages	8
Journal	Annales Polonici Mathematici
Volume	110
Issue number	2
DOIs	https://doi.org/10.4064/ap110-2-1
State	Published - 2014
Externally published	Yes

Keywords

Clifford analysis
Differential forms
Multi-vector fields

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10.4064/ap110-2-1

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abstract = "In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝn is considered.",

keywords = "Clifford analysis, Differential forms, Multi-vector fields",

author = "{Abreu Blaya}, Ricardo and {Bory Reyes}, Juan",

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AU - Bory Reyes, Juan

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Y1 - 2014

N2 - In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝn is considered.

AB - In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝn is considered.

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KW - Multi-vector fields

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M3 - Artículo

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IS - 2

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Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces

Abstract

Keywords

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