Study on the generator f of the operators I-n and I-t
文献类型：期刊论文
| 作者 | Chen HanLin |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-10-01 |
| 卷号 | 53期号:10页码:2589-2603 |
| 关键词 | generator available generator inner product operator spline interpolation operator two-closed refinable |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-4065-9 |
| 英文摘要 | Define two operators I-n and I-t, the inner product operator I-n(g)(x) = Sigma(j is an element of zs)(g, f(- j))f(x - j) and the interpolation operator I-t(g)(x) = Sigma(j epsilon zs)g(j)f(x - j), where f belongs to some space and integer s >= 1 We call f the generator of the operators I-n and I-t. It is well known that there are many results on operators I-n and I-t But there remain some important problems to be further explored For application we first need to find the available generators (that can recover polynomials as I-t(p) = p or I-n(p) = p, p is an element of Pi(m-1)) for constructing the relative operators In this paper, we focus on the available generator in the class of spline functions We shall see that not all spline functions can be used to construct available generators. Fortunately, we do find a spline function in S, of degree m - 1, where m is even and S is a class of splines. But for odd m the problem is still open Results on spline functions in this paper are new |
| 语种 | 英语 |
| WOS记录号 | WOS:000283671200002 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9311]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen HanLin |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen HanLin. Study on the generator f of the operators I-n and I-t[J]. SCIENCE CHINA-MATHEMATICS,2010,53(10):2589-2603. |
| APA | Chen HanLin.(2010).Study on the generator f of the operators I-n and I-t.SCIENCE CHINA-MATHEMATICS,53(10),2589-2603. |
| MLA | Chen HanLin."Study on the generator f of the operators I-n and I-t".SCIENCE CHINA-MATHEMATICS 53.10(2010):2589-2603. |
入库方式： OAI收割
来源：数学与系统科学研究院
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