Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions

DOI10.1016/J.MATPUR.2022.05.008zbMath1491.42003arXiv2107.07882OpenAlexW3184151488WikidataQ114148561 ScholiaQ114148561MaRDI QIDQ2145838

Mikhail Isaev, Roman G. Novikov

Publication date: 15 June 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07882

zbMATH Keywords

Radon transformprolate spheroidal wave functionsill-posed inverse problemsHölder-logarithmic stabilityband-limited Fourier transform

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Inverse problems for PDEs (35R30) Radon transform (44A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability ⋮ Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions

Cites Work

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• Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions

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