A Class of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)  

作　　者：Yanmei XUE Ning BI 

机构地区：[1]School of Mathematics and Computational Science,Sun Yat-sen University [2]Guangdong Province Key Laboratory of Computational Science,Sun Yat-sen University

出　　处：《Journal of Mathematical Research with Applications》2013年第2期209-220,共12页数学研究及应用（英文版）

基　　金：Supported by the Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University

摘　　要：In this paper, we preseat a concrete method for constructing a class of compactly supported nonseparable orthogonal wavelet bases of L^2 （R^n）, n ≥ 2. The orthogonal wavelets are associated with dilation matrix αIn （α ≥ 2, α ∈ Z）, where In is the identity matrix of order n. In the end, two examples are given to illustrate how to use our method to construct nonseparable orthogonal wavelet bases.In this paper, we preseat a concrete method for constructing a class of compactly supported nonseparable orthogonal wavelet bases of L^2 （R^n）, n ≥ 2. The orthogonal wavelets are associated with dilation matrix αIn （α ≥ 2, α ∈ Z）, where In is the identity matrix of order n. In the end, two examples are given to illustrate how to use our method to construct nonseparable orthogonal wavelet bases.

关 键 词：NONSEPARABLE MULTIVARIATE ORTHOGONAL compactly supported stability. 

分 类 号：O174.2[理学—数学] TP18[理学—基础数学]