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Superresolution of principal semi-algebraic sets

Lookup NU author(s): Professor Mihai Putinar

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Abstract

The Hoelder 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.

Publication metadata

Author(s): Putinar M

Publication type: Article

Publication status: Published

Journal: Analysis and Mathematical Physics

Year: 2021

Volume: 11

Issue: 3

Online publication date: 15/05/2021

Acceptance date: 28/04/2021

ISSN (print): 1664-2368

ISSN (electronic): 1664-235X

Publisher: Springer

URL: https://doi.org/10.1007/s13324-021-00540-1

DOI: 10.1007/s13324-021-00540-1

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