| Homogeneous Approximation Property for Wavelet Frames with Matrix Dilations,Ⅱ |
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| 基金项目： | Supported partially by National Natural Science Foundation of China(Grant Nos.10971105and10990012);Natural Science Foundation of Tianjin(Grant No.09JCYBJC01000) |
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| 摘 要： |
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Homogeneous approximation property for wavelet frames with matrix dilations, II |
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| Authors: | Zhi Jing Zhao Wen Chang Sun |
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| Institution: | 1. Department of Mathematics and LPMC, Nankai University, Tianjin, 300071, P. R. China
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| Abstract: | The homogeneous approximation property (HAP) states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we show that every wavelet frame with nice wavelet function and arbitrary expansive dilation matrix possesses the HAP. Our results improve some known ones. |
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| Keywords: | Wavelet frames homogeneous approximation property HAP matrix dilations |
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