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arXiv · 1612.06567

Notes on the boundaries of quadrature domains

Kaushal Verma
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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.

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Kaushal Verma. 2016-12-20. Notes on the boundaries of quadrature domains. https://arxiv.org/abs/1612.06567

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