Sampling Property of Fekete Points for Random Holomorphic Sections
Complex Variables
2020-04-07 v1 Probability
Abstract
In this note, we obtain the growth order of Lebesgue constants for Fekete points associated with tensor powers of a positive line bundle. Moreover, by endowing the space of global holomorphic sections with a natural Gaussian probability measure we prove that Fekete points are sampling for random holomorphic sections.
Keywords
Cite
@article{arxiv.2004.02773,
title = {Sampling Property of Fekete Points for Random Holomorphic Sections},
author = {Turgay Bayraktar},
journal= {arXiv preprint arXiv:2004.02773},
year = {2020}
}