頁籤選單縮合
題 名 | Notes on Multivariate Pre-Wavelet Decomposition |
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作 者 | 張桂芳; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 2:1 1998.03[民87.03] |
頁 次 | 頁69-85 |
分類號 | 319 |
關鍵詞 | Wiener class; Poisson summation formula; Pre-wavelet basis; Riesz basis; Box splines; |
語 文 | 英文(English) |
英文摘要 | We introduce the Wiener space and then consider wavelets which are not necessarily compactly supported but have a decay condition at infinity. Under the Wiener condition, a wavelet and its bi-orthogonal wavelet have the same rate of decay at infinity and the same moment. Under a certain sufficient condition, we prove the existence of a pre-wavelet basis in the multi-dimensional case. Furthermore, pre-wavelets and their bi-orthogonal pre-wavelets have the same rate of decay at infinity and the same number of vanishing moments. |
本系統中英文摘要資訊取自各篇刊載內容。