电邮这篇文章 Exactness and optimality of methods for recovering functions from their spectrum
- 作者: Magaril-Il’yaev G.G.1,2,3, Osipenko K.Y.1,2,4
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隶属关系:
- Faculty of Mechanics and Mathematics
- Institute for Information Transmission Problems (Kharkevich Institute)
- Peoples’ Friendship University of Russia
- Moscow Aviation Institute (National Research University)
- 期: 卷 293, 编号 1 (2016)
- 页面: 194-208
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173734
- DOI: https://doi.org/10.1134/S0081543816040143
- ID: 173734
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详细
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.
作者简介
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Institute for Information Transmission Problems (Kharkevich Institute); Peoples’ Friendship University of Russia
编辑信件的主要联系方式.
Email: magaril@mech.math.msu.su
俄罗斯联邦, 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
俄罗斯联邦, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; Volokolamskoe sh. 4, Moscow, 125993
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