The Siciak-Zahariuta extremal function as the envelope of disc functionals
| dc.creator | Larusson, Finnur | |
| dc.creator | Sigurdsson, Ragnar | |
| dc.date | 2005-04-22 | |
| dc.date | 2005-07-14 | |
| dc.date.accessioned | 2026-07-07T05:19:22Z | |
| dc.date.available | 2026-07-07T05:19:22Z | |
| dc.description | We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space, generalizing Lempert's formula for the convex case. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case. | |
| dc.description | Version 3 contains a proof of Lempert's formula for the S-Z function in the convex case, in slightly modified form, for an arbitrary connected open subset of affine space. This was the main problem left unsolved in the earlier versions. The rest of the paper is essentially unchanged from version 2 | |
| dc.identifier | https://arxiv.org/abs/math/0504471 | |
| dc.identifier | http://arxiv.org/abs/math/0504471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74995 | |
| dc.subject | Complex Variables | |
| dc.subject | 32U35 | |
| dc.title | The Siciak-Zahariuta extremal function as the envelope of disc functionals | |
| dc.type | text |