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arXiv · 1309.7060

Asymptotic Properties of Unbounded Quadrature Domains in the Plane

Lavi Karp
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Abstract

We prove that if $Ω$ is a simply connected quadrature domain for a distribution with compact support and the infinity point belongs the boundary, then the boundary has an asymptotic curve that is either a straight line or a parabola or an infinite ray. In other words, unbounded quadrature domains in the plane are perturbations of null quadrature domains.

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Lavi Karp. 2014-10-30. Asymptotic Properties of Unbounded Quadrature Domains in the Plane. https://arxiv.org/abs/1309.7060

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