Degree and holomorphic extensions
| dc.creator | Globevnik, Josip | |
| dc.date | 2006-06-28 | |
| dc.date.accessioned | 2026-07-07T07:17:49Z | |
| dc.date.available | 2026-07-07T07:17:49Z | |
| dc.description | Let D be a bounded convex domain in C^N, N\geq 2. We prove that a continous map F from bD to C^N extends holomorphically through D if and only if for every polynomial map P from C^N to C^N such that F+P has no zero on bD, the degree of F+P|bD is nonnegative. We also prove another such theorem for more general domains. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606727 | |
| dc.identifier | http://arxiv.org/abs/math/0606727 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114077 | |
| dc.subject | Complex Variables | |
| dc.title | Degree and holomorphic extensions | |
| dc.type | text |