首页|General Optimal Polynomial Approximants,Stabilization,and Projections of Unity
General Optimal Polynomial Approximants,Stabilization,and Projections of Unity
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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.
Optimal polynomial approximantsinner functions
Christopher Felder
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Department of Mathematics and Statistics,Washington University In St.Louis,St.Louis,Mo 63136,USA
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