Optimal recovery from a finite set in Banach spaces of entire functions

DOI10.1016/j.aim.2009.06.013zbMath1182.30057OpenAlexW2012947249MaRDI QIDQ734829

Nikolai N. Tarkhanov, Lev S. Maergoiz

Publication date: 14 October 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://publishup.uni-potsdam.de/files/2853/2006_19.pdf

zbMATH Keywords

Fourier transformentire functions of exponential typebest analytic continuationoptimal estimate for extrapolation from a finite set

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analog of the Paley-Wiener theorem for entire functions of the space \(W^p_\sigma\), \(1<p<2\), and some applications
• Best approximation of analytic functions from information about their values at a finite number of points
• Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
• Extremal properties of entire functions of the Wiener class and their applications
• Fonctions entières et intégrales de Fourier multiples. II
• Counterexamples Concerning Support Theorems for Convex Sets in Hilbert Space
• Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error
• An optimal estimate for extrapolation from a finite set in the Wiener class

This page was built for publication: Optimal recovery from a finite set in Banach spaces of entire functions