Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space
文献类型：期刊论文
| 作者 | Chen, WS; Xu, C; Lin, W |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2006 |
| 卷号 | 24期号:1页码:81-90 |
| 关键词 | nonstationary subdivision algorithm biorthogonal semi-MRAs wavelets spectral approximation Sobolev space |
| ISSN号 | 0254-9409 |
| 英文摘要 | Subdivision algorithm (Stationary or Non-stationary) is one of the most active and exciting research topics in wavelet analysis and applied mathematical theory. In multidimensional non-stationary situation, its limit functions are both compactly supported and infinitely differentiable. Also, these limit functions can serve as the scaling functions to generate the multidimensional non-stationary orthogonal or biorthogonal semi-multiresolution analysis (Semi-MRAs). The spectral approximation property of multidimensional nonstationary biorthogonal Semi-MRAs is considered in this paper. Based on non-stationary subdivision scheme and its limit scaling functions, it is shown that the multidimensional non-stationary biorthogonal Semi-MRAs have spectral approximation order r in Sobolev space H(s)(R(d)), for all r >= s >= 0. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235395500008 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3215]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, WS |
| 作者单位 | 1.Shenzhen Univ, Dept Math, Shenzhen 518060, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 3.Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, WS,Xu, C,Lin, W. Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(1):81-90. |
| APA | Chen, WS,Xu, C,&Lin, W.(2006).Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(1),81-90. |
| MLA | Chen, WS,et al."Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.1(2006):81-90. |
入库方式： OAI收割
来源：数学与系统科学研究院
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