Cardinal B-spline dictionaries on a compact interval
泛函分析
2007-05-23 v1
摘要
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.
关键词
引用
@article{arxiv.math/0501403,
title = {Cardinal B-spline dictionaries on a compact interval},
author = {Miroslav Andrle and Laura Rebollo-Neira},
journal= {arXiv preprint arXiv:math/0501403},
year = {2007}
}
备注
11 pages, 8 figures