| Irregular wavelet frames on L~2 (R~n) |
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| 作者姓名： | YANG Deyun & ZHOU Xingwei |
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| 作者单位： | YANG Deyun & ZHOU Xingwei Department of Information & Technology，Nankai University，Tianjin 300071，China; Department of Mathematics，Nankai University，Tianjin 300071，China; Department of Computer Science，Taishan College，Taian 271000，China |
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| 基金项目： | 国家自然科学基金，the Research Fund for the Doctoral Program of Higher Education of China |
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| 摘 要： | In this paper, we present the conditions on dilation parameter {sj}j that ensure a discrete irregular wavelet system to be a frame on L2(Rn), and for the wavelet frame we consider the perturbations of translation parameter b and frame function ψ respectively.
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Irregular wavelet frames on L2(Rn) |
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| YANG Deyun & ZHOU Xingwei.Irregular wavelet frames on L~2 (R~n)[J].Science in China(Mathematics),2005,48(2). |
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| Authors: | YANG Deyun ZHOU Xingwei |
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| Institution: | 1. Department of Information & Technology,Nankai University,Tianjin 300071,China;Department of Mathematics,Nankai University,Tianjin 300071,China;Department of Computer Science,Taishan College,Taian 271000,China
2. Department of Mathematics,Nankai University,Tianjin 300071,China |
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| Abstract: | In this paper, we present the conditions on dilation parameter {sj }j that ensure a discrete irregular wavelet system {Snj/2ψ(sj·-bk)}j∈(Z),k∈(Z)n to be a frame on L2(Rn),and for the wavelet frame we consider the perturbations of translation parameter b and frame function ψ respectively. |
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| Keywords: | wavelet transform frame wavelet frame irregular dilation |
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