Abstracts
| Institution: | Ume University |
|---|---|
| Department: | |
| Year: | 2017 |
| Keywords: | several complex variables; holomorphic functions; polynomial convexity; Oka-Weil theorem; Oka extension theorem; differential forms; Mathematical Analysis; Matematisk analys |
| Posted: | 02/01/2018 |
| Record ID: | 2186028 |
| Full text PDF: | http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-138760 |
Abstract
We give a proof of the Oka-Weil theorem which states that on compact, polynomially convex subsets of Cn, holomorphic functions can be approximated uniformly by holomorphic polynomials. Vi ger ett bevis av Oka-Weil sats som sger att p kompakta och polynomkonvexa delmngder av Cnkan holomorfa funktioner approximeras likformigt med holomorfa polynom.
