On stable reconstruction of analytic functions from Fourier samples

DOI10.1134/S0081543821060146zbMath1481.65276OpenAlexW4206542768MaRDI QIDQ2071615

A. Yu. Shadrin, Sergei V. Konyagin

Publication date: 28 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0081543821060146

zbMATH Keywords

Fourier coefficientspolynomial inequalitiesstable reconstruction

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon
• Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method
• Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem
• Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
• A Stability Barrier for Reconstructions from Fourier Samples