April 5, 2024Open Access

Recovery of differential operators from a noisy Fourier transform

KOK. Yu. OsipenkoRussian Academy of Sciences

Key Points

Key points are not available for this paper at this time.

Abstract

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 L₂-metric.

AI에게 질문

Bookmark

View Full Paper

Cite This Study

K. Yu. Osipenko (Fri,) studied this question.

synapsesocial.com/papers/68e70547b6db64358767f151 https://doi.org/https://doi.org/10.48550/arxiv.2404.03917

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Optimal recovery of linear operators from information of random functions2024
2Some Problems of the Optimal Recovery Theory2024
3A class of higher order inverse spectral problems2024
4An existence and uniqueness result to evolution equations with sign-changing pseudo-differential operators and its applications to logarithmic Laplacian operators and second-order differential operators without ellipticity2024
5Global Solution of the Inverse Spectral Problem for Differential Operators on a Finite Interval with Complex Weights2024

AI에게 질문

Bookmark

View Full Paper