Cardinal B-spline dictionaries on a compact interval

Details Cardinal B-spline dictionaries on a compact interval Cardinal B-spline dictionaries on a compact interval

2005-01-24

arxiv.org/abs/math/0501403v1

Mathematics

Functional Analysis

11 pages, 8 figures

Scientific paper

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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