论文标题

主要半代数套件的超分辨率

Superresolution of principal semi-algebraic sets

论文作者

Putinar, Mihai

论文摘要

欧几里得空间中阴影函数的截短力矩图的Hölder连续性是在主要半代数集的附近建立的。该证明结合了半代数集和凸优化方法的体积界限。主要估计值适用于针对两个实际变量的潜在类型变换,用于正交域的扰动。

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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