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《Mathematics in Practice and Theory》 2007-24
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Construction of a Family of Bivariate Orthogonal Nonseparable Wavelets

MAI A-li, SUN Guo-wei, YAO Xi-yan(Department of Applied Mathematics,Yuncheng University, Yuncheng 044000,China)  
The orthogonality and accuracy of a scaling function (x),which satisfies a scaling equation (x)=2∑k∈Z2hk(Ax-k) with special coefficients and a given dilation matrix A,is discussed.So a family of bivariate orthogonal nonseparable wavelets in R2 is constructed.
【Fund】: 运城学院科研项目(2006021920060215);; 山西省高校科技开发项目(2007150)
【CateGory Index】: O174.2
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【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 LIU Jin-guang(College of Science,Hunan Institute of Engineering,Xiangtan 411104,China);Multi-dimensional Wavelet Frame Series Pointwise Convergence[J];Journal of Hunan Institute of Engineering(Natural Science Edition);2010-02
2 MENG Guang-de,Han Jin-cang (School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Construction of Trivariate Compactly Supported Orthogonal Multiscaling Functions[J];Journal of Gansu Lianhe University(Natural Science Edition);2010-04
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