De Branges’ theorem on approximation problems of Bernstein type

DOI10.1017/S1474748013000030zbMath1281.41005arXiv1207.5126MaRDI QIDQ2852320

Anton D. Baranov, Harald Woracek

Publication date: 8 October 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5126

zbMATH Keywords

de Branges' theoremBernstein type problemweighted sup-norm approximation

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Stability of order and type under perturbation of the spectral measure

Cites Work

• Unnamed Item
• Weighted exponential approximation and non-classical orthogonal spectral measures
• A general approach to approximation problems of the Bernstein type
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Representation of measures with polynomial denseness in $\mathbf {L}_{p} (\mathbb {R}, d\mu )$, $0<p<\infty $, and its application to determinate moment problems

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