Hypercomplex singular integral equation reduces to two riemann problems

Ricardo Abreu-Blaya; Juan Bory-Reyes; Jean Marie Vilaire

doi:10.1080/17476930903276183

Hypercomplex singular integral equation reduces to two riemann problems

Ricardo Abreu-Blaya, Juan Bory-Reyes, Jean Marie Vilaire

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

Abstract

This article is devoted to the study of a hypercomplex singular integral equation, which contains as special case the characteristic equation and other ones associated with it. The equation is solved in closed form by reduction to two Riemann boundary value problems for Douglis algebras-valued functions in generalized Holder spaces over a closed Jordan Carleson curve.

Original language	English
Pages (from-to)	1065-1072
Number of pages	8
Journal	Complex Variables and Elliptic Equations
Volume	54
Issue number	11
DOIs	https://doi.org/10.1080/17476930903276183
State	Published - Nov 2009
Externally published	Yes

Keywords

Douglis algebra
Riemann problem
Singular integral equations

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10.1080/17476930903276183

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title = "Hypercomplex singular integral equation reduces to two riemann problems",

abstract = "This article is devoted to the study of a hypercomplex singular integral equation, which contains as special case the characteristic equation and other ones associated with it. The equation is solved in closed form by reduction to two Riemann boundary value problems for Douglis algebras-valued functions in generalized Holder spaces over a closed Jordan Carleson curve.",

keywords = "Douglis algebra, Riemann problem, Singular integral equations",

author = "Ricardo Abreu-Blaya and Juan Bory-Reyes and Vilaire, {Jean Marie}",

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AU - Bory-Reyes, Juan

AU - Vilaire, Jean Marie

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AB - This article is devoted to the study of a hypercomplex singular integral equation, which contains as special case the characteristic equation and other ones associated with it. The equation is solved in closed form by reduction to two Riemann boundary value problems for Douglis algebras-valued functions in generalized Holder spaces over a closed Jordan Carleson curve.

KW - Douglis algebra

KW - Riemann problem

KW - Singular integral equations

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U2 - 10.1080/17476930903276183

DO - 10.1080/17476930903276183

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JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

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Hypercomplex singular integral equation reduces to two riemann problems

Abstract

Keywords

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