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https://doi.org/10.1137/060675009
| Title: | Compactly supported symmetric C∞ wavelets with spectral approximation order | Authors: | Han, B. Shen, Z. |
Keywords: | Nonstationary C∞ wavelets Nonstationary cascade algorithm Spectral frame approximation order Symmetric orthonormal complex wavelets Symmetric tight wavelet frames |
Issue Date: | Sep-2008 | Citation: | Han, B., Shen, Z. (2008-09). Compactly supported symmetric C∞ wavelets with spectral approximation order. SIAM Journal on Mathematical Analysis 40 (3) : 905-938. ScholarBank@NUS Repository. https://doi.org/10.1137/060675009 | Abstract: | In this paper, we obtain symmetric C∞ real-valued tight wavelet frames in L2(R) with compact support and the spectral frame approximation order. Furthermore, we present a family of symmetric compactly supported C∞ orthonormal complex wavelets in L2(R). A complete analysis of nonstationary tight wavelet frames and orthonormal wavelet bases in L2(R) is given. ©2008 Society for Industrial and Applied Mathematics. | Source Title: | SIAM Journal on Mathematical Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/103008 | ISSN: | 00361410 | DOI: | 10.1137/060675009 |
| Appears in Collections: | Staff Publications |
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