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Boundary value problems for the quaternionic Hermitian system in R 4 n

Ricardo Abreu-Blaya1, Juan Bory-Reyes2, Fred Brackx3, Hennie De Schepper3* and Frank Sommen3

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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, Faculty of Engineering, Ghent University, Galglaan 2, 9000, Gent, Belgium

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Citation and License

Boundary Value Problems 2012, 2012:74 doi:10.1186/1687-2770-2012-74

Published: 12 July 2012

Abstract

In this paper boundary value problems for quaternionic Hermitian monogenic functions are presented using a circulant matrix approach.

MSC: 30G35.

Keywords:
quaternionic Clifford analysis; Cauchy integral formula