Reconstructing a function from its values on a subset of its domain - a Hilbert space approach

DOI10.1016/0021-9045(86)90072-9zbMath0594.41021OpenAlexW1981940744MaRDI QIDQ1076924

Harold S. Shapiro

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90072-9

zbMATH Keywords

Hilbert spaceself-adjoint operatorextrapolationreconstructionill posed problemsExamples

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Restriction operators, balayage and doubly orthogonal systems of analytic functions ⋮ On an isoperimetric problem in conformal mapping ⋮ Some problems of best approximation with constraints ⋮ Compressed sensing with preconditioning for sparse recovery with subsampled matrices of Slepian prolate functions ⋮ Estimates for the SVD of the truncated Fourier transform on \(L^2(\cosh (B|\cdot |))\) and stable analytic continuation

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• Restrictions of Analytic Functions. II
• Some Hilbert Space Extremal Problems
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Fredholm Equations on a Hilbert Space of Analytic Functions
• Recapturing H 2 -Functions on a Polydisc
• Representation of 𝐻^{𝑝}-functions
• An Application of Doubly Orthogonal Functions to a Problem of Approximation in Two Regions

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