A survey of optimal polynomial approximants, applications to digital filter design, and related open problems

DOI10.1007/s40627-021-00068-xzbMath1469.30078arXiv2102.01725OpenAlexW3154947686MaRDI QIDQ2040243

Raymond Centner, Catherine Bénéteau

Publication date: 12 July 2021

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01725

zbMATH Keywords

orthogonal polynomialsdigital filtersreproducing kernelsDirichlet spacesoptimal polynomial approximants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (4)

Optimal polynomial approximants in \(L^p\) ⋮ Zeros of optimal polynomial approximants in \(\ell_A^p\) ⋮ An optimal approximation problem for free polynomials ⋮ More properties of optimal polynomial approximants in Hardy spaces

Cites Work

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• Cyclic polynomials in two variables
• Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants
• Cyclic Vectors in the Dirichlet Space
• Remarks on Inner Functions and Optimal Approximants

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