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Superresolution of principal semi-algebraic sets

被引：0
|
作者：
Mihai Putinar
机构：
[1] University of California at Santa Barbara,
[2] Newcastle University,undefined
来源：
Analysis and Mathematical Physics | 2021年 / 11卷
关键词：
Superresolution; Markov moment problem; Convex optimization; Quadrature domain; Exponential transform; 30E05; 65D32; 46N10; 42B20;
D O I：
暂无
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学科分类号：
摘要：
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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