Refinement equations and spline functions
文献类型：期刊论文
| 作者 | Dubickas, Arturas2,3; Xu, Zhiqiang1
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 32期号:1页码:1-23 |
| 关键词 | Refinement equation Multivariate spline Fourier transform Distribution modulo 1 |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-008-9079-2 |
| 英文摘要 | In this paper, we exploit the relation between the regularity of refinable functions with non-integer dilations and the distribution of powers of a fixed number modulo 1, and show the nonexistence of a non-trivial C (aaEuro parts per thousand) solution of the refinement equation with non-integer dilations. Using this, we extend the results on the refinable splines with non-integer dilations and construct a counterexample to some conjecture concerning the refinable splines with non-integer dilations. Finally, we study the box splines satisfying the refinement equation with non-integer dilation and translations. Our study involves techniques from number theory and harmonic analysis. |
| 资助项目 | Lithuanian Foundation of Studies and Science ; National Natural Science Foundation of China[10401021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272901600001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11044]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Zhiqiang |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania 3.Inst Math & Informat, LT-08663 Vilnius, Lithuania |
| 推荐引用方式 GB/T 7714 | Dubickas, Arturas,Xu, Zhiqiang. Refinement equations and spline functions[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2010,32(1):1-23. |
| APA | Dubickas, Arturas,&Xu, Zhiqiang.(2010).Refinement equations and spline functions.ADVANCES IN COMPUTATIONAL MATHEMATICS,32(1),1-23. |
| MLA | Dubickas, Arturas,et al."Refinement equations and spline functions".ADVANCES IN COMPUTATIONAL MATHEMATICS 32.1(2010):1-23. |
入库方式： OAI收割
来源：数学与系统科学研究院
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