Recovery of differential operators from a noisy Fourier transform

Communications in Optimization Theory 2026 Open access

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DOI: 10.23952/cot.2026.13
Cited by: 0

Abstract

The paper concerns the 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.

Fields of Study & Subjects

Numerical methods in inverse problems Mathematical Analysis and Transform Methods Spectral Theory in Mathematical Physics

Publication details

Journal / source
Communications in Optimization Theory
Volume
2026
Issue
1
Publication date
1 January 2026