A local extension theorem for proper holomorphic mappings in C^2
| dc.creator | Shafikov, Rasul | |
| dc.creator | Verma, Kaushal | |
| dc.date | 2002-09-30 | |
| dc.date.accessioned | 2026-07-07T04:51:23Z | |
| dc.date.available | 2026-07-07T04:51:23Z | |
| dc.description | Let f be a proper holomorphic mapping between bounded domains D and D' in C^2. Let M, M' be open pieces on the boundaries of D and D' respectively, that are smooth, real analytic and of finite type. Suppose that the cluster set of M under f is contained in M'. It is shown that f extends holomorphically across M. This can be viewed as a local version of the Diederich-Pinchuk extension result for proper mappings in C^2. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209411 | |
| dc.identifier | http://arxiv.org/abs/math/0209411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65124 | |
| dc.subject | Complex Variables | |
| dc.title | A local extension theorem for proper holomorphic mappings in C^2 | |
| dc.type | text |