The Study of Subspace Pseudoframes of Translates with Several Refinable Functions

The concept of a generalized multiresolution structure (GMS) of L
²
(R) is presented. The definition of multiple pseudoframes 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.