On translation invariant operators which preserve the B-spline recurrence
文献类型：期刊论文
| 作者 | Micchelli, Charles A.1; Xu, Yuesheng2; Zhang, Haizhang3 |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 28期号:2页码:157-169 |
| 关键词 | multivariate B-spline recurrence cube splines translation invariant operators homogeneous distributions |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-006-9018-z |
| 英文摘要 | It was observed in [4] that the Hilbert transform of the univariate B-spline preserves the B-spline recurrence. Motivated by this observation, we characterize translation invariant operators that preserve the multivariate B-spline recurrence and analogous results are also provided for the multivariate cube spline. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252613900004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5320]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Yuesheng |
| 作者单位 | 1.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA 2.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 3.Chinese Acad Sci, Academy Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Micchelli, Charles A.,Xu, Yuesheng,Zhang, Haizhang. On translation invariant operators which preserve the B-spline recurrence[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,28(2):157-169. |
| APA | Micchelli, Charles A.,Xu, Yuesheng,&Zhang, Haizhang.(2008).On translation invariant operators which preserve the B-spline recurrence.ADVANCES IN COMPUTATIONAL MATHEMATICS,28(2),157-169. |
| MLA | Micchelli, Charles A.,et al."On translation invariant operators which preserve the B-spline recurrence".ADVANCES IN COMPUTATIONAL MATHEMATICS 28.2(2008):157-169. |
入库方式： OAI收割
来源：数学与系统科学研究院
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