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 Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of R^4
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/18246

title: Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of R^4
authors: Min Ku
Ying Wang
Fuli He
Uwe Kähler
keywords: Riemann–Hilbert problems, Generalized Cauchy–Riemann equation, Quaternion analysis
issue date: 19-May-2017
publisher: Birkhaeuser
abstract: In this paper we are interested in finding solutions to Riemann– Hilbert boundary value problems, for short Riemann–Hilbert problems, with variable coefficients in the case of axially monogenic functions defined over the upper half unit ball centred at the origin in four-dimensional Euclidean space. Our main idea is to transfer Riemann– Hilbert problems for axially monogenic functions defined over the up- per half unit ball centred at the origin of four-dimensional Euclidean spaces into Riemann–Hilbert problems for analytic functions defined over the upper half unit disk of the complex plane. Furthermore, we extend our results to axially symmetric null-solutions of perturbed generalized Cauchy–Riemann equations.
URI: http://hdl.handle.net/10773/18246
ISSN: 0188-7009
publisher version/DOI: http://doi.org/10.1007/s00006-017-0789-8
source: Advances in Applied Clifford Algebras
appears in collectionsCIDMA - Artigos

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