Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations
type: Item
instance of: scholarly article
title: Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations
zbMATH Open document ID: 0853.30021
DOI: 10.1007/BF01057004
author: V. P. Havin
author: V. A. Bart
published in: Ukrainian Mathematical Journal
publication date: 1995-11-02T00:00:00Z
review text: An explicit construction of approximants in the Szegö-Kolmogorov-Krein theorem (on the weighted approximation by functions with semibounded spectrum) is described. This construction is done with the help of new versions of the Carleman formula (the latter is an explicit expression allowing one to recover an analytic function by its boundary values on a set of positive length).
Mathematics Subject Classification ID: 30D55
Mathematics Subject Classification ID: 30D50
zbMATH DE Number: 803821
zbMATH Keywords: Hardy class
zbMATH Keywords: Szegö-Kolmogorov-Krein theorem
zbMATH Keywords: Carleman formula
reviewed by: S. V. Kislyakov
MaRDI profile type: Publication
cites work: Q5844024
cites work: Q3994552
cites work: Q5549176
cites work: On the uncertainty principle in harmonic analysis
cites work: Representation of 𝐻^{𝑝}-functions
full work available at URL: https://doi.org/10.1007/bf01057004
OpenAlex ID: W2021343529
description: scientific article; zbMATH DE number 803821