Sampling Property of Fekete Points for Random Holomorphic Sections

2020/04/06 by Turgay Bayraktar, Bayraktar, Turgay
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2004.02773

openalex publication_date 2020/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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