A variational approach to the inversion of truncated Fourier operators

DOI10.1088/0266-5611/25/4/045002zbMath1166.65068OpenAlexW1970587104MaRDI QIDQ3625448

Nathaël Alibaud, Yaowaluk Saesor, Pierre Maréchal

Publication date: 5 May 2009

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0de549e853469797a655118a4ea2d586232b2682

zbMATH Keywords

Fourier transformTikhonov regularizationreconstructioninversion of truncated Fourier operators

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Numerical methods for trigonometric approximation and interpolation (65T40)

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Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions ⋮ A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation ⋮ Regularization of the inverse Laplace transform by mollification ⋮ A variational technique of mollification applied to backward heat conduction problems ⋮ Hölder-logarithmic stability in Fourier synthesis ⋮ Estimates for the SVD of the truncated Fourier transform on \(L^2(\cosh (B|\cdot |))\) and stable analytic continuation ⋮ Adaptive estimation in the linear random coefficients model when regressors have limited variation ⋮ Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions

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