On characterizations of multiwavelets in L2 (Rn)

被引：32

作者：

Bownik, M

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Washington Univ, Dept Math, St Louis, MO 63130 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 11期

关键词：

Bessel family; affine frame; quasi affine frame; (multi)wavelet;

D O I：

10.1090/S0002-9939-01-05942-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new approach to characterizing (multi)wavelets by means of basic equations in the Fourier domain. Our method yields an uncomplicated proof of the two basic equations and a new characterization of orthonormality and completeness of (multi)wavelets.

引用

页码：3265 / 3274

页数：10

共 16 条

[1]

[Anonymous], 1996, 1 COURSE WAVELETS, DOI DOI 10.1201/9781420049985

[2] The structure of shift-invariant subspaces of L2(Rn) [J].