浙江大学学报(英文版)
浙江大學學報(英文版)
절강대학학보(영문판)
JOURNAL OF ZHEJIANG UNIVERSITY SCIENCE
2002年
3期
332-338
,共7页
Refinement equations%Subdivision schemes%Joint spectral radius
In this paper we will first prove that the nontrivial Lp solutions of the vector refinement equation exist if and only if the corresponding subdivision scheme with a suitable initial function converges in Lp without assumption of the stability of the solutions. Then we obtain a characterization of the convergence of the subdivision scheme in terms of the mask. This gives a complete answer to the existence of Lp solutions of the refinement equation and the convergence of the corresponding subdivision schemes.
