Holomorphic Extendibility and Mapping Degree
| dc.creator | Globevnik, Josip | |
| dc.date | 2006-06-13 | |
| dc.date.accessioned | 2026-07-07T07:17:14Z | |
| dc.date.available | 2026-07-07T07:17:14Z | |
| dc.description | Let D be a bounded, finitely connected domain in the complex plane without isolated points in the boundary and let f be a continuous function on the boundary bD. Let F be a continuous extension of f to the closure of D. We prove that f extends holomorphically through D if and only if the degree of F+h is nonnegative for every holomorphic function h on D such that F+h is bounded away from zero near bD. | |
| dc.description | 8 pages, to appear in Proc.Roy.Soc.Edinb.Sect A | |
| dc.identifier | https://arxiv.org/abs/math/0606306 | |
| dc.identifier | http://arxiv.org/abs/math/0606306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113870 | |
| dc.subject | Complex Variables | |
| dc.title | Holomorphic Extendibility and Mapping Degree | |
| dc.type | text |