Rigidity of optimal bases for signal spaces

DOI10.1016/j.crma.2017.06.004zbMath1377.46007OpenAlexW2727168705MaRDI QIDQ2012348

David Gómez-Castro, Haim Brezis

Publication date: 31 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.06.004

zbMATH Keywords

homogeneous Dirichlet boundary conditionseigenfunctions of Laplace operatoroptimal error estimatebest orthonormal basis of \(L^2(\Omega)\)optimal \(L^2\)-approximation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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Cites Work

• Best bases for signal spaces
• On the Optimality of Shape and Data Representation in the Spectral Domain
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