Characterization of compactly supported refinable splines whose shifts form a riesz basis
文献类型：期刊论文
| 作者 | Guan, YJ; Lu, SW; Tang, Y |
| 刊名 | Journal of approximation theory
 |
| 出版日期 | 2005-04-01 |
| 卷号 | 133期号:2页码:245-250 |
| 关键词 | Multivariate spline Refinement Compact support Riesz basis Box spline |
| ISSN号 | 0021-9045 |
| DOI | 10.1016/j.jat.2004.12.015 |
| 通讯作者 | Guan, yj(dr.guan@163.com) |
| 英文摘要 | Based on (j. approx. theory 86 (1996) 240), we prove that the integer shifts of a multivariate block-wise polynomial phi(x) which is compactly supported and m-refinable form a riesz basis if and only if phi(x) = cb(x - n - 1/m-1 vertical bar v(1), v(2),..., v(k)). here n, l epsilon z(s), c not equal 0 is a constant, b(x vertical bar v(1), v(2),..., v(k)) is a multivariate box spline and the matrix (v(1), v(2), ..., v(k)) is unimodular. (c) 2005 elsevier inc. all rights reserved. |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000228022100006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2377115 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Guan, YJ |
| 作者单位 | 1.Jilin Univ, Math Inst, Changchun 130012, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100039, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guan, YJ,Lu, SW,Tang, Y. Characterization of compactly supported refinable splines whose shifts form a riesz basis[J]. Journal of approximation theory,2005,133(2):245-250. |
| APA | Guan, YJ,Lu, SW,&Tang, Y.(2005).Characterization of compactly supported refinable splines whose shifts form a riesz basis.Journal of approximation theory,133(2),245-250. |
| MLA | Guan, YJ,et al."Characterization of compactly supported refinable splines whose shifts form a riesz basis".Journal of approximation theory 133.2(2005):245-250. |
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来源：中国科学院大学
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