Rapid ``algebraic'' Fourier transforms on uniformly distributed meshes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2016), pp. 93-98

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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, meshes uniformly distributed on multidimensional unit cube, critical mesh, critical determinant.
Mots-clés : discrete Fourier transform (DFT), rapid Fourier transform (RFT)
@article{IVM_2016_5_a8,
     author = {Zh. N. Temirgaliyeva and N. Temirgaliyev},
     title = {Rapid ``algebraic'' {Fourier} transforms on uniformly distributed meshes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {93--98},
     publisher = {mathdoc},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_5_a8/}
}
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Zh. N. Temirgaliyeva; N. Temirgaliyev. Rapid ``algebraic'' Fourier transforms on uniformly distributed meshes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2016), pp. 93-98. http://geodesic.mathdoc.fr/item/IVM_2016_5_a8/