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 |
Author: | Ku, Min Wang, Ying He, Fuli Kähler, Uwe |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18246 |
DOI: | 10.1007/s00006-017-0789-8 |
ISSN: | 0188-7009 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
s00006-017-0789-8.pdf | Documento principal | 566.14 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.