Exactness and optimality of methods for recovering functions from their spectrum

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. © 2016, Pleiades Publishing, Ltd.

Авторы
Magaril-Il’yaev G.G. 1, 2, 3 , Osipenko K.Y.1, 2, 4
Номер выпуска
1
Язык
Английский
Страницы
194-208
Статус
Опубликовано
Том
293
Год
2016
Организации
  • 1 Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russian Federation
  • 2 Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051, Russian Federation
  • 3 Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 4 Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3948/