General Optimal Polynomial Approximants, Stabilization, and Projections of Unity
Functional Analysis
2023-07-11 v2
Abstract
For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function 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.
Cite
@article{arxiv.2003.10015,
title = {General Optimal Polynomial Approximants, Stabilization, and Projections of Unity},
author = {Christopher Felder},
journal= {arXiv preprint arXiv:2003.10015},
year = {2023}
}
Comments
16 pages; To appear in Analysis in Theory and Applications