Dimension functions of orthonormal wavelets

被引：2

作者：

Arambasic, Ljiljana

Bakic, Damir

Rajic, Rajna

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Min Geol & Petr Engn, Zagreb 10000, Croatia

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2007年 / 13卷 / 03期

关键词：

dimension function; wavelet;

D O I：

10.1007/s00041-006-6091-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article is devoted to dimension functions of orthonormal wavelets oil the real line with dyadic dilations. We describe properties of dimension functions and prove several characterization theorems. In addition, we provide a method of construction of dimension functions. Various new examples of dimension functions and orthonormal wavelets are included.

引用

页码：331 / 356

页数：26

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