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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 63–72 (Mi vmj438)  

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
Full-text PDF (171 kB) Citations (6)
References:
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
Document Type: Article
UDC: 517.518.8
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Siv12}
\by E.~O.~Sivkova
\paper On optimal recovery of the Laplacian of a~function from its inaccurately given Fourier transform
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 4
\pages 63--72
\mathnet{http://mi.mathnet.ru/vmj438}
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  • https://www.mathnet.ru/eng/vmj438
  • https://www.mathnet.ru/eng/vmj/v14/i4/p63
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Владикавказский математический журнал
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    Full-text PDF :107
    References:78
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