Notes on the boundaries of quadrature domains
Complex Variables
2016-12-21 v1
Abstract
We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover several basic properties of such domains, namely the algebraicity of their boundary, a better understanding of the associated defining polynomial and the possible boundary singularities that can occur.
Keywords
Cite
@article{arxiv.1612.06567,
title = {Notes on the boundaries of quadrature domains},
author = {Kaushal Verma},
journal= {arXiv preprint arXiv:1612.06567},
year = {2016}
}