Characterization of compact support of Fourier transform for orthonormal wavelets of L2(Rd)

被引：1
|
作者：
Zhang, ZH [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期
关键词：
orthonormal wavelets; multiresolution analysis; scaling function; compact support;
D O I：
10.1007/s10114-004-0419-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let {psi(mu)} be an orthonormal wavelet of L-2(R-d) and the support of a whole of its Fourier transform be [GRAPHICS] Under the weakest condition that each vertical bar(psi) over cap (mu)vertical bar is continuous for omega is an element of partial derivative(Pi(d)(i=1) [A(i), D-i]), a characterization of the above support of a whole is given.
引用
收藏
页码：855 / 864
页数：10
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