Hyperanalytic Riemann boundary value problem on d-summable closed curves

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

doi:10.1016/j.jmaa.2009.07.046

Hyperanalytic Riemann boundary value problem on d-summable closed curves

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

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

8 Scopus citations

Abstract

We are interested in finding solvability conditions for the Riemann boundary value problems for hyperanalytic functions in a simply connected bounded open subset of the complex plane whose boundary is merely required to be a d-summable closed curve.

Original language	English
Pages (from-to)	579-586
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	361
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.07.046
State	Published - 15 Jan 2010
Externally published	Yes

Keywords

Fractal dimensions
Hyperanalytic functions
Riemann boundary value problem

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10.1016/j.jmaa.2009.07.046

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title = "Hyperanalytic Riemann boundary value problem on d-summable closed curves",

abstract = "We are interested in finding solvability conditions for the Riemann boundary value problems for hyperanalytic functions in a simply connected bounded open subset of the complex plane whose boundary is merely required to be a d-summable closed curve.",

keywords = "Fractal dimensions, Hyperanalytic functions, Riemann boundary value problem",

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AU - Bory-Reyes, Juan

AU - Vilaire, Jean Marie

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AB - We are interested in finding solvability conditions for the Riemann boundary value problems for hyperanalytic functions in a simply connected bounded open subset of the complex plane whose boundary is merely required to be a d-summable closed curve.

KW - Fractal dimensions

KW - Hyperanalytic functions

KW - Riemann boundary value problem

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U2 - 10.1016/j.jmaa.2009.07.046

DO - 10.1016/j.jmaa.2009.07.046

M3 - Artículo

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Hyperanalytic Riemann boundary value problem on d-summable closed curves

Abstract

Keywords

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