论文标题
平面度量云的力矩估计
Moment estimates of the cloud of a planar measure
论文作者
论文摘要
有了适当的函数的理论定义，对{\ it云的{\ it cloud}的正态度量具有紧凑的支持，在真实平面中具有紧凑的支持，描述了将原始度量的力矩转换为云上均匀分布的质量矩的计算方案。主要的限制操作涉及仅截断的Christoffel-Darboux内核，而错误界限取决于属于Hilbert-Schmidt类的Hankel内核的光谱渐进性。
With a proper function theoretic definition of the {\it cloud} of a positive measure with compact support in the real plane, a computational scheme of transforming the moments of the original measure into the moments of the uniformly distributed mass on the cloud is described. The main limiting operation involves exclusively truncated Christoffel-Darboux kernels, while error bounds depend on the spectral asymptotics of a Hankel kernel belonging to the Hilbert-Schmidt class.
