The Study of Subspace Pseudoframes of translates with several refinable functions

摘要

The concept of a generalized multiresolution structure (GMS) of L~2(R) is presented. The definition of multiple pseudo - frames for subspaces of L~2(R) is proposed. The designment of a GMS of Paley-Wiener subspaces of L~2(R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces of L~2(R) is established based on such a generalized multiresolution structure.