Open Access

A Boundary Value Problem for Hermitian Monogenic Functions

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

DOI: 10.1155/BVP/2008/385874

Received: 14 September 2007

Accepted: 7 December 2007

Published: 24 December 2007

Abstract

We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in https://static-content.springer.com/image/art%3A10.1155%2FBVP%2F2008%2F385874/MediaObjects/13661_2007_Article_800_IEq1_HTML.gif . Necessary and sufficient conditions for the solvability of this problem are obtained.

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Authors’ Affiliations

(1)
Facultad de Informática y Matemática, Universidad de Holguín
(2)
Departamento de Matemática, Universidad de Oriente
(3)
Department of Mathematical Analysis, Ghent University

Copyright

© 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.