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arXiv · 2008.05595

Superresolution of principal semi-algebraic sets

Mihai Putinar
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Abstract

The Hölder continuity of the truncated moment map of a shade function in Euclidean space is established in the vicinity of a principal semi-algebraic set. The proof combines volume bounds of semi-algebraic sets and convex optimization methods. The main estimate is applied to a potential type transform specific to two real variables, for perturbations of quadrature domains.

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Mihai Putinar. 2020-08-12. Superresolution of principal semi-algebraic sets. https://arxiv.org/abs/2008.05595

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