Recovery of differential operators from a noisy Fourier transform

Fuente: arXiv
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Autore principale: Osipenko, Konstantin Yu.
Natura: Preprint
Pubblicazione: 2024
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author Osipenko, Konstantin Yu.
author_facet Osipenko, Konstantin Yu.
contents The paper concerns problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of generalized Laplace operators from a noisy Fourier transform in the $L_2$-metric.
format Preprint
id arxiv_https___arxiv_org_abs_2404_03917
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Recovery of differential operators from a noisy Fourier transform
Osipenko, Konstantin Yu.
Numerical Analysis
41A65, 42B10, 49N30
The paper concerns problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of generalized Laplace operators from a noisy Fourier transform in the $L_2$-metric.
title Recovery of differential operators from a noisy Fourier transform
topic Numerical Analysis
41A65, 42B10, 49N30
url https://arxiv.org/abs/2404.03917