Convergence of subdivision schemes in L p spaces |
| |
Authors: | Wu Zhengchang |
| |
Affiliation: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou |
| |
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. Supported by the National Natural Science Foundation of China(10071071). |
| |
Keywords: | 42C15 41A25 |
本文献已被 维普 SpringerLink 等数据库收录! |