A Short Note on the Local Solvability of the Quaternionic Beltrami Equation

Juan Bory Reyes; Paula Cerejeiras; Alí Guzmán Adán; Uwe Kähler

doi:10.1007/s00006-014-0494-9

A Short Note on the Local Solvability of the Quaternionic Beltrami Equation

Juan Bory Reyes, Paula Cerejeiras, Alí Guzmán Adán, Uwe Kähler

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

4 Scopus citations

Abstract

In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients.

Original language	English
Pages (from-to)	945-953
Number of pages	9
Journal	Advances in Applied Clifford Algebras
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s00006-014-0494-9
State	Published - 15 Nov 2014
Externally published	Yes

Keywords

Quaternionic Beltrami equation
local solvability

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10.1007/s00006-014-0494-9

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title = "A Short Note on the Local Solvability of the Quaternionic Beltrami Equation",

abstract = "In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients.",

keywords = "Quaternionic Beltrami equation, local solvability",

author = "{Bory Reyes}, Juan and Paula Cerejeiras and {Guzm{\'a}n Ad{\'a}n}, Al{\'i} and Uwe K{\"a}hler",

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AU - Bory Reyes, Juan

AU - Cerejeiras, Paula

AU - Guzmán Adán, Alí

AU - Kähler, Uwe

PY - 2014/11/15

Y1 - 2014/11/15

N2 - In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients.

AB - In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients.

KW - Quaternionic Beltrami equation

KW - local solvability

UR - http://www.scopus.com/inward/record.url?scp=85028119098&partnerID=8YFLogxK

U2 - 10.1007/s00006-014-0494-9

DO - 10.1007/s00006-014-0494-9

M3 - Artículo

SN - 0188-7009

VL - 24

SP - 945

EP - 953

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 4

ER -

A Short Note on the Local Solvability of the Quaternionic Beltrami Equation

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Keywords

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