A Method for the Construction of Wavelet Analogs by Means of Trigonometric B-Splines
- Autores: Shevaldin V.T.1
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Afiliações:
- Krasovskii Institute of Mathematics and Mechanics
- Edição: Volume 300, Nº Suppl 1 (2018)
- Páginas: 165-171
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175512
- DOI: https://doi.org/10.1134/S0081543818020165
- ID: 175512
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Resumo
We construct an analog of two-scale relations for basis trigonometric splines with uniform knots corresponding to a linear differential operator of order 2r + 1 with constant coefficients L2r+1(D) = D(D2 + α12 )(D2 + α22 )... (D2 + αr2 ), where α1, α2,..., αr are arbitrary positive numbers. The properties of nested subspaces of trigonometric splines are analyzed.
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Sobre autores
V. Shevaldin
Krasovskii Institute of Mathematics and Mechanics
Autor responsável pela correspondência
Email: Valerii.Shevaldin@imm.uran.ru
Rússia, Yekaterinburg, 620990
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