Geodesic
Spectral algorithms of multidimensional polynomial approximation
Matematičeskoe modelirovanie, Tome 8 (1996) no. 8, pp. 69-75.

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The algorithms of multidimensional polynomial approximation on the base of spectral representations of multidimensional sequences are suggested. They use Walsh-like miltidimensional discrete orthogonal transformations. Undoubted merit of these algorithms is low multiplicational complexity. 
@article{MM_1996_8_8_a5,
     author = {F. B. Abutaliev and I. I. Ismagilov},
     title = {Spectral algorithms of multidimensional polynomial approximation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {69--75},
     publisher = {mathdoc},
     volume = {8},
     number = {8},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_8_a5/}
}
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F. B. Abutaliev; I. I. Ismagilov. Spectral algorithms of multidimensional polynomial approximation. Matematičeskoe modelirovanie, Tome 8 (1996) no. 8, pp. 69-75. http://geodesic.mathdoc.fr/item/MM_1996_8_8_a5/