The Riemann-Hilbert problem for certain poly domains and its connection to the Riemann problem |
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| Authors: | Alip Mohammed |
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| Affiliation: | a Department of Mathematics, Xinjiang University, Shenglilu 14, 830046 Ürümqi, PR China
b Department of Mathematics and Statistics, York University, N520 Ross Building, 4700 Keele Street, M3J 1P3 Toronto, ON, Canada |
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| Abstract: | The Riemann-Hilbert problem is studied for holomorphic functions in higher dimensional poly domains and the explicit constructive solution is given. The connection between the Riemann problem and the Riemann-Hilbert problem for poly domains is presented and proven. Contrary to earlier studies, our results provide explicit solutions and are not attached to any artificial assumptions. |
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| Keywords: | Holomorphic functions Several complex variables The Riemann-Hilbert problem Poly domain |
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