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Cardinal B-spline dictionaries on a compact interval

Miroslav Andrle·Laura Rebollo-Neira
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Abstract

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.

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Miroslav Andrle, Laura Rebollo-Neira. 2005-01-24. Cardinal B-spline dictionaries on a compact interval. https://arxiv.org/abs/math/0501403

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