From spectral theory to bounds on zeros of holomorphic functions
Complex Variables
2014-02-26 v3 Spectral Theory
Abstract
We show how eigenvalue estimates for linear operators can be used to obtain new Blaschke type bounds on zeros of holomorphic functions on the unit disk.
Keywords
Cite
@article{arxiv.1103.1487,
title = {From spectral theory to bounds on zeros of holomorphic functions},
author = {Marcel Hansmann and Guy Katriel},
journal= {arXiv preprint arXiv:1103.1487},
year = {2014}
}
Comments
Revised version (+ some additional changes in the introduction), to appear in Bull. Lond. Math. Soc