Email this article A Method for the Construction of Wavelet Analogs by Means of Trigonometric B-Splines
- Authors: Shevaldin V.T.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Issue: Vol 300, No Suppl 1 (2018)
- Pages: 165-171
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175512
- DOI: https://doi.org/10.1134/S0081543818020165
- ID: 175512
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Abstract
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.
About the authors
V. T. Shevaldin
Krasovskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: Valerii.Shevaldin@imm.uran.ru
Russian Federation, Yekaterinburg, 620990
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