Stability estimates for reconstruction from the Fourier transform on the ball
Résumé
We prove Hölder-logarithmic stability estimates for the problem of finding an integrable function v on R^d with a super-exponential decay at infinity
from its Fourier transform Fv given on the ball B_r. These estimates arise from a Hölder-stable extrapolation of Fv from B_r to a larger ball.
We also present instability examples showing an optimality of our results.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...