Geodesic
Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 48-52

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Orthonormal bases of consecutive shifts of one polynomial are constructed in some spaces of multidimensional trigonometric polynomials. The methods for constructing Parseval frames of consecutive shifts of a polynomial in wider classes of multidimensional trigonometric polynomials are proposed. 
@article{VMUMM_2020_3_a7,
     author = {T. P. Lukashenko},
     title = {Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {48--52},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a7/}
}
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T. P. Lukashenko. Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 48-52. http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a7/