Exactness and Optimality of Methods for Recovering Functions from Their Spectrumстатья
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Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Аннотация:Optimal methods are constructed for recovering functions and their derivatives in a
Sobolev class of functions on the line from exactly or approximately defined Fourier transforms
of these functions on an arbitrary measurable set. The methods are exact on certain subspaces
of entire functions. Optimal recovery methods are also constructed for wider function classes
obtained as the sum of the original Sobolev class and a subspace of entire functions.