A Boundary Value Problem for Hermitian Monogenic Functions

  • RicardoAbreu Blaya1,

    Affiliated with

    • JuanBory Reyes2,

      Affiliated with

      • DixanPeña Peña3Email author and

        Affiliated with

        • Frank Sommen3

          Affiliated with

          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 http://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.