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Open Access

A Boundary Value Problem for Hermitian Monogenic Functions

  • RicardoAbreu Blaya1,
  • JuanBory Reyes2,
  • DixanPeña Peña3Email author and
  • Frank Sommen3
Boundary Value Problems20072008:385874

Received: 14 September 2007

Accepted: 7 December 2007

Published: 24 December 2007


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationFull Article

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Authors’ Affiliations

Facultad de Informática y Matemática, Universidad de Holguín, Holguín, Cuba
Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, Cuba
Department of Mathematical Analysis, Ghent University, Gent, Belgium


© Ricardo Abreu Blaya et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.