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arXiv · 2602.15240

Ellipsoids in pseudoconvex domains

Laszlo Lempert
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Abstract

We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.

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Laszlo Lempert. 2026-02-16. Ellipsoids in pseudoconvex domains. https://arxiv.org/abs/2602.15240

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