A unified approach to the theory of separately holomorphic mappings
| dc.creator | Nguyen, Viet-Anh | |
| dc.date | 2007-04-06 | |
| dc.date | 2007-11-04 | |
| dc.date.accessioned | 2026-07-07T08:39:59Z | |
| dc.date.available | 2026-07-07T08:39:59Z | |
| dc.description | We extend the theory of separately holomorphic mappings between complex analytic spaces. Our method is based on Poletsky theory of discs, Rosay Theorem on holomorphic discs and our recent joint-work with Pflug on cross theorems in dimension 1. It also relies on our new technique of conformal mappings and a generalization of Siciak's relative extremal function. Our approach illustrates the unified character: ``From local informations to global extensions". Moreover, it avoids systematically the use of the classical method of doubly orthogonal bases of Bergman type. | |
| dc.description | 54 pages, preprint of the ICTP, Trieste, Italy (2007). I have added some minor explanations, corrections and changes | |
| dc.identifier | https://arxiv.org/abs/0704.0897 | |
| dc.identifier | http://arxiv.org/abs/0704.0897 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141262 | |
| dc.subject | Complex Variables | |
| dc.subject | 32D15, 32D10 | |
| dc.title | A unified approach to the theory of separately holomorphic mappings | |
| dc.type | text |