Analytic continuation in mapping spaces
| dc.creator | Lempert, Laszlo | |
| dc.date | 2008-08-12 | |
| dc.date.accessioned | 2026-07-07T09:56:15Z | |
| dc.date.available | 2026-07-07T09:56:15Z | |
| dc.description | We consider a Stein manifold $M$ of dimension $\geq 2$ and a compact subset $K\subset M$ such that $M'=M\backslash K$ is connected. Let $S$ be a compact differential manifold, and let $M_S$, resp. $M'_S$ stand for the complex manifold of maps $S\to M$, resp. $S\to M'$, of some specified regularity, that are homotopic to constant. We prove that any holomorphic function on $M'_S$ continues analytically to $M_S$ (perhaps as a multivalued function). | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1711 | |
| dc.identifier | http://arxiv.org/abs/0808.1711 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166913 | |
| dc.subject | Complex Variables | |
| dc.subject | 32D, 32E10, 46G20, 58B12, 58D15 | |
| dc.title | Analytic continuation in mapping spaces | |
| dc.type | text |