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Mathematics of the USSR-Sbornik, 1989, Volume 64, Issue 2, Pages 443–460
DOI: https://doi.org/10.1070/SM1989v064n02ABEH003319 (Mi sm1753) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The discrete Fourier transform and cyclic convolution on integral lattices

V. A. Bykovskii
English version PDF (709 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1989v064n02ABEH003319
Abstract: A discrete Fourier transform and a cyclic convolution are constructed on an arbitrary integral lattice. The construction includes as a special case the usual discrete Fourier transform and the usual cyclic convolution. Applications to questions of interpolation of functions and digital signal processing are considered. Methods in the spectral theory of automorphic functions are used to investigate questions in approximation of arbitrary lattices by integral lattices.
Bibliography: 14 titles.
Received: 29.06.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 136(178), Number 4(8), Pages 451–467
Bibliographic databases:
UDC: 511.51+519.652
MSC: Primary 42B10, 42A85; Secondary 94A99, 42A15
Language: English
Original paper language: Russian
Citation: V. A. Bykovskii, “The discrete Fourier transform and cyclic convolution on integral lattices”, Mat. Sb. (N.S.), 136(178):4(8) (1988), 451–467; Math. USSR-Sb., 64:2 (1989), 443–460
Citation in format AMSBIB
\Bibitem{Byk88}
\by V.~A.~Bykovskii
\paper The discrete Fourier transform and cyclic convolution on integral lattices
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 136(178)
\issue 4(8)
\pages 451--467
\mathnet{http://mi.mathnet.ru/sm1753}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965886}
\zmath{https://zbmath.org/?q=an:0679.10022|0658.10035}
\transl
\jour Math. USSR-Sb.
\yr 1989
\vol 64
\issue 2
\pages 443--460
\crossref{https://doi.org/10.1070/SM1989v064n02ABEH003319}
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  • https://doi.org/10.1070/SM1989v064n02ABEH003319
  • https://www.mathnet.ru/eng/sm/v178/i4/p451
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1430
    Russian version PDF:741
    English version PDF:27
    References:107
    First page:1
     
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