Vanishing Bergman kernels on the disk
Complex Variables
2017-03-20 v1
Abstract
We discuss topics related to zeroes of the Bergman kernels, and present a method for generating Bergman kernels with arbitrarily, but finitely, many zeroes. It is also shown that a Bergman kernel induced by a radial weight on the unit disk cannot have infinitely many zeroes. Similar questions for the Segal-Bargmann spaces of the complex plane are briefly discussed.
Keywords
Cite
@article{arxiv.1703.05976,
title = {Vanishing Bergman kernels on the disk},
author = {Antti Perälä},
journal= {arXiv preprint arXiv:1703.05976},
year = {2017}
}
Comments
11 pages