Year: 2023
Author: Christopher Felder
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 309–329
Abstract
In 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 or, equivalently, when the approximants stabilize. We also introduce a generalized notion of optimal approximant and use this to explicitly compute orthogonal projections of 1 onto certain shift invariant subspaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2020-0047
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 309–329
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Optimal polynomial approximants inner functions.