General Optimal Polynomial Approximants,Stabilization,and Projections of Unity  

作　　者：Christopher Felder 

机构地区：[1]Department of Mathematics and Statistics,Washington University In St.Louis,St.Louis,Mo 63136,USA

出　　处：《Analysis in Theory and Applications》2023年第4期309-329,共21页分析理论与应用（英文刊）

摘　　要：In various Hilbert spaces of analytic functions on the unit disk,we charac-terize when a function has optimal polynomial approximants given by truncations of a single power series or,equivalently,when the approximants stabilize.We also intro-duce a generalized notion of optimal approximant and use this to explicitly compute orthogonal projections of 1 onto certain shift invariant subspaces.

关 键 词：Optimal polynomial approximants inner functions 

分 类 号：O174.14[理学—数学]