Отправить статью по E-mail Exactness and optimality of methods for recovering functions from their spectrum
- Авторы: Magaril-Il’yaev G.G.1,2,3, Osipenko K.Y.1,2,4
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Учреждения:
- Faculty of Mechanics and Mathematics
- Institute for Information Transmission Problems (Kharkevich Institute)
- Peoples’ Friendship University of Russia
- Moscow Aviation Institute (National Research University)
- Выпуск: Том 293, № 1 (2016)
- Страницы: 194-208
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173734
- DOI: https://doi.org/10.1134/S0081543816040143
- ID: 173734
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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.
Об авторах
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Institute for Information Transmission Problems (Kharkevich Institute); Peoples’ Friendship University of Russia
Автор, ответственный за переписку.
Email: magaril@mech.math.msu.su
Россия, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Miklukho-Maklaya 6, Moscow, 117198
K. Osipenko
Faculty of Mechanics and Mathematics; Institute for Information Transmission Problems (Kharkevich Institute); Moscow Aviation Institute (National Research University)
Email: magaril@mech.math.msu.su
Россия, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; Volokolamskoe sh. 4, Moscow, 125993
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