Characterization of Compact Support of Fourier Transform for Orthonormal Wavelets of L^2(R^d)

作     者：Zhi Hua ZHANG (Zhihua ZHANG) Department of Mathematics,University of California,Davis,California.95616,USA 

作者机构：Department of Mathematics University of California Davis USA 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2005年第21卷第4期

页      面：855-864页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Orthonormal wavelets Multiresolution analysis Scaling function Compact support 

摘      要：Let{ψμ} be an orthonormal wavelet of L^2（R^d） and the support of a whole of its Fourier transform be Uμsupp{ψμ}=Пi=1^d[Ai, Di]-Пi=1^d（Bi, Ci）, Ai≤Bi≤Ci≤Di. Under the weakest condition that each │ψμ│, is continuous for ω ∈ δ（Пi=1^d[Ai, Di]）, a characterization of the above support of a whole is given.