On a Class of Finitely Supported Scaling Functions with Properties of Interpolation and Symmetry 被引量：1

On a Class of Finitely Supported Scaling Functions with Properties of Interpolation and Symmetry

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摘要 In this paper, a class of finitely supported orthogonal filters with interpolation and sym metry is constructed. In this paper, a class of finitely supported orthogonal filters with interpolation and sym metry is constructed.

作者 Ze Yin ZHANG Center for Mathematical Sciences. Zhejiang University. Hangzhou 310027. P. R. China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第2期333-338,共6页 数学学报（英文版）

基金 The work is partially supported by NSFC(69735020).

关键词 FILTER Scaling function Filter Scaling function

分类号 O174 [理学—基础数学]

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1Daubechies I.Ten Lectures on Wavelets[]..1992
2C K Chui,J A Lian.A construction of compactly supported symmetric and orthonormal wavelets with scale=3[].Applied and Computational Harmonic Analysis.1995
3Lawton W M.Tight frames of compactly supported wavelets[].Journal of Mathematics.1990
4N. Bi,X. R. Dai,Q. Y. Sun.Construction of Compactly Supported M-band Wavelets[].Applied and Computational Harmonic Analysis.1999

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3HuangDaren,LiYunzhang.MULTIVARIATE REFINEMENT EQUATION WITH FINITELY SUPPORTED MASK[J].Applied Mathematics(A Journal of Chinese Universities),1999,14(2):215-226.
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7Charles K.Chui.CHARACTERIZATIONS OF FUNDAMENTAL SCALING FUNCTIONS AND WAVELETS[J].Analysis in Theory and Applications,1993,9(3):37-52.
8杨守志,杨晓忠.多尺度函数支撑的计算[J].数值计算与计算机应用,2004,25(4):262-268.
9Onno van Gaans.MULTIRESOLUTIONS AND PRIMITIVES[J].Analysis in Theory and Applications,1997,13(2):49-56.
10Song LI~(1+) Jun XIAN~2 1 Department of Mathematics,Zhejiang University,Hangzhou 310027,China,2 Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China.Biorthogonal multiple wavelets generated by vector refinement equation[J].Science China Mathematics,2007,50(7):1015-1025. 被引量：5

Acta Mathematica Sinica,English Series

2001年第2期

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On a Class of Finitely Supported Scaling Functions with Properties of Interpolation and Symmetry 被引量：1

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