Open Access Research Article

A Boundary Value Problem for Hermitian Monogenic Functions

RicardoAbreu Blaya1, JuanBory Reyes2, DixanPeña Peña3* and Frank Sommen3

Author Affiliations

1 Facultad de Informática y Matemática, Universidad de Holguín, Holguín 80100, Cuba

2 Departamento de Matemática, Universidad de Oriente, Santiago de Cuba 90500, Cuba

3 Department of Mathematical Analysis, Ghent University, Galglaan 2, Gent 9000 , Belgium

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Boundary Value Problems 2008, 2008:385874  doi:10.1155/BVP/2008/385874

Published: 24 December 2007

Abstract

We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in . Necessary and sufficient conditions for the solvability of this problem are obtained.