Boundary value problems for the quaternionic Hermitian system in "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML"-Reference-Cited by-同舟云学术

Boundary value problems for the quaternionic Hermitian system in "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML"

Published:2012-07-12 Issue:1 Volume:2012 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Abreu-Blaya Ricardo,Bory-Reyes Juan,Brackx Fred,De Schepper Hennie,Sommen Frank

Abstract

Abstract In this paper boundary value problems for quaternionic Hermitian monogenic functions are presented using a circulant matrix approach. MSC:30G35.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-2770-2012-74.pdf

Reference17 articles.

1. Abreu-Blaya R, Bory-Reyes J, Peña Peña D: Jump problem and removable singularities for monogenic functions. J. Geom. Anal. 2007, 17(1):1-13. 10.1007/BF02922079

2. Abreu-Blaya R, Bory-Reyes J, Delanghe R, Sommen F: Cauchy integral decomposition of multi-vector valued functions on hypersurfaces. Comput. Methods Funct. Theory 2005, 5(1):111-135.

3. Abreu-Blaya, R, Bory-Reyes, J, Brackx, F, De Schepper, H, Sommen, F: Cauchy integral formulae in Hermitian quaternionic Clifford analysis. Complex Anal. Oper. Theory (accepted for publication). doi:10.1007/s11785-011-0168-8

4. Abreu-Blaya, R, Bory-Reyes, J, Brackx, F, De Schepper, H, Sommen, F: Matrix Cauchy and Hilbert transforms in Hermitean quaternionic Clifford analysis. Complex Var. Elliptic Equ. (accepted for publication). doi:10.1080/17476933.2011.626034

5. Brackx F, Delanghe R, Sommen F Research Notes in Mathematics 76. In Clifford Analysis. Pitman, Boston; 1982.

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