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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 63–72
(Mi vmj438)
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This article is cited in 6 scientific papers (total in 6 papers)
On optimal recovery of the Laplacian of a function from its inaccurately given Fourier transform
E. O. Sivkova Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Russia, Moscow
Abstract:
The paper is devoted to the problem of the optimal recovery for a fractional power of the Laplacian of a function from its inaccurately given Fourier transform in metric $L_\infty$ on some convex subset of $\mathbb R^d$. The optimal recovery method is constructed. This method is not used the information about the Fourier transform outside some ball centred at the origin.
Key words:
optimal recovery, Laplacian, Fourier transform, convex problem.
Received: 28.05.2012
Citation:
E. O. Sivkova, “On optimal recovery of the Laplacian of a function from its inaccurately given Fourier transform”, Vladikavkaz. Mat. Zh., 14:4 (2012), 63–72
Linking options:
https://www.mathnet.ru/eng/vmj438 https://www.mathnet.ru/eng/vmj/v14/i4/p63
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Abstract page: | 354 | Full-text PDF : | 96 | References: | 70 | First page: | 1 |
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