A FAMILY OF NONSEPARABLE SMOOTH COMPACTLY SUPPORTED WAVELETS

被引：1
|
作者：
San Antolin, A. [1 ]
Zalik, R. A. [2 ]
机构：
[1] Univ Alicante, Dept Anal Matemat, E-03080 Alicante, Spain
[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2013年 / 11卷 / 02期
关键词：
Fourier transform; multiresolution analysis; nonseparable functions; scaling function; wavelets; CONSTRUCTION; BASES;
D O I：
10.1142/S0219691313500148
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We construct smooth nonseparable compactly supported refinable functions that generate multiresolution analyses on L-2(R-d), d > 1. Using these refinable functions we construct smooth nonseparable compactly supported orthonormal wavelet systems. These systems are nonseparable, in the sense that none of its constituent functions can be expressed as the product of two functions defined on lower dimensions. Both the refinable functions and the wavelets can be made as smooth as desired. Estimates for the supports of these scaling functions and wavelets, are given.
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页数：12
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