Наилучшее Восстановление Оператора Лапласа Функции По Ее Неточно Заданному Спектру

The paper concerns problems of the recovery of operators from noisy information in weighted -spaces with homogeneous weights. A number of general theorems are proved and applied to problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of the Laplace operator from a noisy Fourier transform in the -metric. Bibliography: 30 titles.

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On recovery of the solution to the Cauchy problem for the singular heat equation

Sitnik,

Polovinkina,

Polovinkin

2024

SMFN

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Наилучшее Восстановление Оператора Лапласа Функции По Ее Неточно Заданному Спектру

Cited by 6 publications

References 12 publications

On the best methods for recovering derivatives in Sobolev classes

On the best methods for recovering derivatives in Sobolev classes

Optimal recovery in weighted spaces with homogeneous weights

On recovery of the solution to the Cauchy problem for the singular heat equation

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