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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
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
Citation:
V. A. Bykovskii, “The discrete Fourier transform and cyclic convolution on integral lattices”, Math. USSR-Sb., 64:2 (1989), 443–460
Linking options:
https://www.mathnet.ru/eng/sm1753https://doi.org/10.1070/SM1989v064n02ABEH003319 https://www.mathnet.ru/eng/sm/v178/i4/p451
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