The convergence of sampling series based on multiresolution analysis

The sampling theory says that a function may be determined by its sampled v alues at some certain points provided the function satisfies some certain c onditions. In this paper, we consider the convergence of the sampling serie s for bounded functions with the sampling function from some multiresolutio n analysis. We also present a convergence theorem on the sampling series wi th irregular sampling points and give the approximation error. (C) 2001 Els evier Science Ltd. All rights reserved.