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

页码：855 / 864

页数：10

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