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Lookup NU author(s): Professor Mihai Putinar
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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.
Author(s): Putinar M
Publication type: Article
Publication status: Published
Journal: Analysis and Mathematical Physics
Online publication date: 15/05/2021
Acceptance date: 28/04/2021
ISSN (print): 1664-2368
ISSN (electronic): 1664-235X
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