Bernstein’s Problem on Weighted Polynomial Approximation

DOI10.1007/978-3-319-08557-9_6zbMath1323.41008arXiv1110.2540OpenAlexW1576408173MaRDI QIDQ2950064

Alexei G. Poltoratski

Publication date: 5 October 2015

Published in: Operator-Related Function Theory and Time-Frequency Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2540

zbMATH Keywords

Cauchy integralweighted polynomial approximationcharacteristic sequencesde Branges theoremsemi-continuous weights

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (2)

On a uniqueness theorem of E. B. Vul ⋮ Smoothing of weights in the Bernstein approximation problem

Cites Work

• A problem on completeness of exponentials
• Spectral gaps for sets and measures
• Weighted exponential approximation and non-classical orthogonal spectral measures
• Beurling-Malliavin theory for Toeplitz kernels
• The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line
• Which perturbations of quasianalytic weights preserve quasianalyticity? How to use de Branges' theorem
• Weighted approximations by polynomials
• The Bernstein Problem
• Representation of measures with polynomial denseness in $\mathbf {L}_{p} (\mathbb {R}, d\mu )$, $0<p<\infty $, and its application to determinate moment problems
• Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle
• On the weighted approximation of continuous functions by polynomials on the entire number axis
• On Bernstein's Approximation Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bernstein’s Problem on Weighted Polynomial Approximation