论文标题
一般最佳多项式近似值，稳定和统一的投影
General Optimal Polynomial Approximants, Stabilization, and Projections of Unity
论文作者
论文摘要
对于单位磁盘上的分析功能的各种希尔伯特空间，我们表征当功能$ f $具有由单个功率系列的截断给出的最佳多项式近似值时。我们还引入了最佳近似值的广义概念，并将其用于将1个正交投影明确地计算到某些偏移不变子空间上。
For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function $f$ has optimal polynomial approximants given by truncations of a single power series. We also introduce a generalized notion of optimal approximant and use this to explicitly compute orthogonal projections of 1 onto certain shift invariant subspaces.
