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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 41–43
DOI: https://doi.org/10.31857/S2686954324030074 (Mi danma528) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Multidimensional Fourier interpolation and fast Fourier transforms

Yu. A. Basalova, N. N. Dobrovol'skiiab, V. N. Chubarikovb

a Tula State Pedagogical University, Tula, Russia
b Lomonosov Moscow State University, Moscow, Russia
Citations (1)
DOI: https://doi.org/10.31857/S2686954324030074
Abstract: It is proved that the coefficients of the interpolation polynomial over a parallelepipedal grid for a multidimensional function are equal to the coefficients of the interpolation polynomial over a uniform grid for a one-dimensional function. These coefficients can be obtained by applying the fast Fourier transform based on various schemes.
Keywords: parallelepipedal grid, linear congruence lattice, interpolation polynomial, fast Fourier transform.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 073-00033-24-01
This work was performed within the framework of the state assignment of the Ministry of Science and Higher Education of the Russian Federation, agreement no. 073-00033-24-01 of February 9, 2024, the research subject “Number-theoretic methods in approximate analysis and their applications in mechanics and physics”.
Presented: A. L. Semenov
Received: 26.04.2024
Revised: 26.04.2024
Accepted: 22.05.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 224–226
DOI: https://doi.org/10.1134/S1064562424702065
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: Yu. A. Basalov, N. N. Dobrovol'skii, V. N. Chubarikov, “Multidimensional Fourier interpolation and fast Fourier transforms”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 41–43; Dokl. Math., 109:3 (2024), 224–226
Citation in format AMSBIB
\Bibitem{BasDobChu24}
\by Yu.~A.~Basalov, N.~N.~Dobrovol'skii, V.~N.~Chubarikov
\paper Multidimensional Fourier interpolation and fast Fourier transforms
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 517
\pages 41--43
\mathnet{http://mi.mathnet.ru/danma528}
\crossref{https://doi.org/10.31857/S2686954324030074}
\elib{https://elibrary.ru/item.asp?id=69204687}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 224--226
\crossref{https://doi.org/10.1134/S1064562424702065}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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