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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 5, Pages 93–98 (Mi ivm9117)  

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Rapid “algebraic” Fourier transforms on uniformly distributed meshes

Zh. N. Temirgaliyevaa, N. Temirgaliyevb

a University of Southern California, Los Angeles, CA, USA
b Institute of Theoretical Mathematics and Scientific Computing, L. N. Gumilyov Eurasian National University, 2 Satpayev str., Astana, 010008 Republic of Kazakhstan
Full-text PDF (193 kB) Citations (1)
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Abstract: Based on algebraic theory of number, we determine discrete Fourier transforms with further concrete definitions. At that, the sets of specification of discrete function are interconnected with various optimization problems, quasi-Monte Carlo method including.
Keywords: ideal, mesh, characteristic function of mesh, discrete Fourier transform (DFT), rapid Fourier transform (RFT), meshes uniformly distributed on multidimensional unit cube, critical mesh, critical determinant.
Received: 26.10.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 5, Pages 81–85
DOI: https://doi.org/10.3103/S1066369X16050091
Bibliographic databases:
Document Type: Article
UDC: 621.391
Language: Russian
Citation: Zh. N. Temirgaliyeva, N. Temirgaliyev, “Rapid “algebraic” Fourier transforms on uniformly distributed meshes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 5, 93–98; Russian Math. (Iz. VUZ), 60:5 (2016), 81–85
Citation in format AMSBIB
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\issue 5
\pages 93--98
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\jour Russian Math. (Iz. VUZ)
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\vol 60
\issue 5
\pages 81--85
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  • https://www.mathnet.ru/eng/ivm/y2016/i5/p93
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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