Orthonormal bases for anisotropic α-modulation spaces

被引：1
|
作者：
Rasmussen, Kenneth N. [1 ]
机构：
[1] Aalborg Univ, Dept Math Sci, DK-9220 Aalborg, Denmark
来源：
COLLECTANEA MATHEMATICA | 2012年 / 63卷 / 01期
关键词：
Anisotropic alpha-modulation spaces; Brushlets; Local trigonometric bases; Nonlinear approximation; BANACH-SPACES; APPROXIMATION; DECOMPOSITION; COMPRESSION;
D O I：
10.1007/s13348-011-0052-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we construct orthonormal bases for bi-variate anisotropic alpha-modulation spaces. The construction is based on generating a nice anisotropic alpha-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. As an application, we show that n-term nonlinear approximation with the orthonormal bases in certain anisotropic alpha-modulation spaces can be completely characterized.
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页码：109 / 121
页数：13
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