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A Boundary Value Problem for Hermitian Monogenic Functions

Boundary Value Problems volume 2008, Article number: 385874 (2007) Cite this article

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.

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Authors and Affiliations

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

    RicardoAbreu Blaya

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

    JuanBory Reyes

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

    DixanPeña Peña & Frank Sommen

Authors
  1. RicardoAbreu Blaya
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  2. JuanBory Reyes
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  3. DixanPeña Peña
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  4. Frank Sommen
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Corresponding author

Correspondence to DixanPeña Peña.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Blaya, R., Reyes, J., Peña, D. et al. A Boundary Value Problem for Hermitian Monogenic Functions. Bound Value Probl 2008, 385874 (2007). https://doi.org/10.1155/BVP/2008/385874

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  • DOI: https://doi.org/10.1155/BVP/2008/385874

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
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