Geodesic
The discrete Fourier transform and cyclic convolution on integral lattices
Sbornik. Mathematics, Tome 64 (1989) no. 2, pp. 443-460

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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. 
@article{SM_1989_64_2_a10,
     author = {V. A. Bykovskii},
     title = {The discrete {Fourier} transform and cyclic convolution on integral lattices},
     journal = {Sbornik. Mathematics},
     pages = {443--460},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_64_2_a10/}
}
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V. A. Bykovskii. The discrete Fourier transform and cyclic convolution on integral lattices. Sbornik. Mathematics, Tome 64 (1989) no. 2, pp. 443-460. http://geodesic.mathdoc.fr/item/SM_1989_64_2_a10/