Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces

被引：5
|
作者：
Lai, Ming-Jun [1 ]
机构：
[1] Univ Georgia, Dept Math, Athens, GA 30602 USA
来源：
JOURNAL OF APPROXIMATION THEORY | 2006年 / 142卷 / 02期
基金：
美国国家科学基金会;
关键词：
box splines; compactly supported; multivariate; multi-resolution analysis; prewavelets; pre-Riesz bases; Sobolev spaces;
D O I：
10.1016/j.jat.2006.03.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new constructive method for finding compactly supported prewavelets in L-2 spaces in the multivariate setting. This method works for any dimensional space. When this method is generalized to the Sobolev space setting, it produces a pre-Riesz basis for H-S (R-d) which can be useful for applications. (c) 2006 Elsevier Inc. All rights reserved.
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页码：83 / 115
页数：33
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