Construction of some types wavelets with coefficient of scaling N

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In this paper it is shown, that B-splines are scaling functions for any natural N. For any natural N construction of Haar wavelets, Kotelnikov-Shannon wavelets, nonorthogonal wavelets based on B-splines is given. Examples of construction of filters of N-channel decomposition of signal and filters of reconstruction based on B-splines are given
LaTeX2e, 19 pages

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Functional Analysis, 42C15; 42A65; 41A15

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http://salesiana.dossiersoluciones.com/handle/123456789/121660

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612573
 http://arxiv.org/abs/math/0612573

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arXiv