Superresolution of principal semi-algebraic sets
Classical Analysis and ODEs
2020-08-14 v1 Functional Analysis
Abstract
The H\"older 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.
Cite
@article{arxiv.2008.05595,
title = {Superresolution of principal semi-algebraic sets},
author = {Mihai Putinar},
journal= {arXiv preprint arXiv:2008.05595},
year = {2020}
}