Superresolution of principal semi-algebraic sets

被引：0

作者：

Putinar, Mihai ^{[1
,2
]}

机构：

[1] Univ Calif Santa Barbara, Santa Barbara, CA 93106 USA

[2] Newcastle Univ, Newcastle Upon Tyne, Tyne & Wear, England

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 03期

关键词：

Superresolution; Markov moment problem; Convex optimization; Quadrature domain; Exponential transform; 30E05; 65D32; 46N10; 42B20; DOMAINS; SHAPE;

D O I：

10.1007/s13324-021-00540-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Holder 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.

引用

页数：14

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