中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1007/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
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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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