%0 Journal Article
%T Quadrature domains in $\mathbb C^n$
%A Pranav Haridas
%A Kaushal Verma
%J Mathematics
%D 2014
%I arXiv
%X We prove two density theorems for quadrature domains in $\mathbb{C}^n$, $n \geq 2$. It is shown that quadrature domains are dense in the class of all product domains of the form $D \times \Omega$, where $D \subset \mathbb{C}^{n-1}$ is a smoothly bounded domain satisfying Bell's Condition R and $\Omega \subset \mathbb{C}$ is a smoothly bounded domain and also in the class of all smoothly bounded complete Hartogs domains in $\mathbb{C}^2$.
%U http://arxiv.org/abs/1406.3449v1