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Recovery of differential operators from a noisy Fourier transform

Numerical Analysis 2024-04-08 v1 Numerical Analysis

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 L2L_2-metric.

Cite

@article{arxiv.2404.03917,
  title  = {Recovery of differential operators from a noisy Fourier transform},
  author = {Konstantin Yu. Osipenko},
  journal= {arXiv preprint arXiv:2404.03917},
  year   = {2024}
}

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14 pages