Extremal functions for real convex bodies: simplices, strips, and ellipses
Complex Variables
2024-05-08 v3
Abstract
We present an explicit method to compute the (Siciak-Zaharjuta) extremal function of a real convex polytope in terms of supporting simplices and strips. We use this to give a new proof of the existence of extremal ellipses associated to the extremal function of a real convex body.
Cite
@article{arxiv.1908.07118,
title = {Extremal functions for real convex bodies: simplices, strips, and ellipses},
author = {Sione Ma`u},
journal= {arXiv preprint arXiv:1908.07118},
year = {2024}
}
Comments
45 pages, 4 figures. The main theorem has a new proof