How best to recover a function from its inaccurately given spectrum?статья
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Дата последнего поиска статьи во внешних источниках: 29 мая 2015 г.
Аннотация:Consider the problem of optimal recovery of a function and its derivatives on the line from the Fourier transform of the function known approximately on a set of finite measure. We find an optimal recovery method and an optimal set on which we must measure the Fourier transform with given error.