@Article{ATA-39-309, author = {Felder , Christopher}, title = {General Optimal Polynomial Approximants, Stabilization, and Projections of Unity}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2020-0047}, url = {http://global-sci.org/intro/article_detail/ata/22300.html} }