The Bergman kernel function: explicit formulas and zeroes
Complex Variables
2009-09-25 v1
Abstract
We show how to compute the Bergman kernel functions of some special domains in a simple way. As an application of the explicit formulas, we show that the Bergman kernel functions of some convex domains, for instance the domain in C^3 defined by the inequality |z_1|+|z_2|+|z_3|<1, have zeroes.
Cite
@article{arxiv.math/9706202,
title = {The Bergman kernel function: explicit formulas and zeroes},
author = {Harold P. Boas and Siqi Fu and Emil J. Straube},
journal= {arXiv preprint arXiv:math/9706202},
year = {2009}
}