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

被引：0

作者：

Zhi Hua ZHANG (Zhihua ZHANG) Department of Mathematics

机构：

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：

暂无

中图分类号：

O174.22 [傅里叶积分（傅里叶变换）];

学科分类号：

070104 ;

摘要：

Let{} be an orthonormal wavelet of L~2(R~d) and the support of a whole of its Fouriertransform be Under the weakest,condition that each || is continuous for ω∈ (Π~d[A,D]),a characterizationof the above support of a whole is given.

引用

页码：855 / 864

页数：10

共 50 条

[1] Characterization of Compact Support of Fourier Transform for Orthonormal Wavelets of L2(Rd)
Zhi Hua Zhang
[J]. Acta Mathematica Sinica, 2005, 21 : 855 - 864
[2] Characterization of compact support of Fourier transform for orthonormal wavelets of L2(Rd)
Zhang, ZH
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (04) : 855 - 864
[3] A characterization for windowed fourier orthonormal basis with compact support
Liu, YM
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (03): : 501 - 506
[4] A Characterization for Windowed Fourier Orthonormal Basis with Compact Support
Liu Y.M.
[J]. Acta Mathematica Sinica, 2001, 17 (3) : 501 - 506
[5] A Characterization for Windowed Fourier Orthonormal Basis with Compact Support
You Ming LIU Department of Applied Mathematics
[J]. Acta Mathematica Sinica,English Series, 2001, 17 (03) : 501 - 506
[6] ON THE DESIGN OF MATCHED ORTHONORMAL WAVELETS WITH COMPACT SUPPORT
Mansour, Mohamed F.
[J]. 2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2011, : 4388 - 4391
[7] The characterization of compact support of Fourier transform for scaling function of L2 (Rs)
Han, Jin-Cang
Cheng, Zheng-Xing
[J]. 2007 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1-4, PROCEEDINGS, 2007, : 1650 - 1654
[8] On the existence and constructions of orthonormal wavelets on L-2(R-s)
Chen, DR
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (10) : 2883 - 2889
[9] Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)
Gomez-Cubillo, F.
Suchanecki, Z.
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2011, 17 (02) : 191 - 225
[10] Comparison theorem between Fourier transform and Fourier transform with compact support
Huyghe, Christine
[J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2013, 25 (01): : 79 - 97

← 1 2 3 4 5 →