| Lp空间中重分算法的收敛性 |
| |
| 引用本文： | 吴正昌.Lp空间中重分算法的收敛性[J].高校应用数学学报(英文版),2001,16(2). |
| |
| 作者姓名： | 吴正昌 |
| |
| 作者单位： | Wu ZhengchangDept.ofMath.，ZhejiangUniv.，Hangzhou310027 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(1 0 0 71 0 71 ) |
| |
| 摘 要： | § 1 IntroductionThe nontrivial solution of the following refinement equation = αa(α)( 2 .-α) ( 1 )is called refinable.The sequence a is called the refinementmask.When the mask a is finite-ly supported on Zand αa(α) =2 ,itis well known thatthe refinementequation( 1 ) hasa unique compactly supported distribution solution satisfies^( 0 ) =1 ,where^denotes theFourier transform of.This solution is called the normalized solution of( 1 ) .In order to study the solution of the equ…
|
CONVERGENCE OF SUBDIVISION SCHEMES IN Lp SPACES |
| |
| Wu Zhengchang.CONVERGENCE OF SUBDIVISION SCHEMES IN Lp SPACES[J].Applied Mathematics A Journal of Chinese Universities,2001,16(2). |
| |
| Authors: | Wu Zhengchang |
| |
| Abstract: | In this paper it is proved that L p solutions of a refinement equation exist if and only if the corresponding subdivision scheme with suitable initial function converges in L p without any assumption on the stability of the solutions of the refinement equation.A characterization for convergence of subdivision scheme is also given in terms of the refinement mask.Thus a complete answer to the relation between the existence of L p solutions of the refinement equation and the convergence of the corresponding subdivision schemes is given. |
| |
| Keywords: | Refinement equations subdivision schemes joint spectral radius |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
