Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 3, Pages 48–52 (Mi vmumm4329)  
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Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them

T. P. Lukashenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Key words: multidimensional trigonometric polynomials, shift of polynomials, orthonormal systems, Parseval frames.
Received: 27.09.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 3, Pages 129–133
DOI: https://doi.org/10.3103/S0027132220030031
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: T. P. Lukashenko, “Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 3, 48–52; Moscow University Mathematics Bulletin, 75:3 (2020), 129–133
Citation in format AMSBIB
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\jour Moscow University Mathematics Bulletin
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\pages 129--133
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