Cardinal B-spline dictionaries on a compact interval

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A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space. This implies that cardinal spline spaces on a compact interval can be spanned by dictionaries of cardinal B-spline functions of broader support that the corresponding basis function.
11 pages, 8 figures

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Functional Analysis, 41A15; 41A45; 65D07

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http://salesiana.dossiersoluciones.com/handle/123456789/73945

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501403
 http://arxiv.org/abs/math/0501403

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arXiv