A generalized multiresolution structure and multi-ple pseudoframes of translates

The definition of multiple pseudofaames for subspaces is given. The notion of a Generalized Multiresolution Structure( GMS) of L²(R) is introduced. The construction of a GMS of Paley-Wiener subspaces of L²(R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces is derived based on such a GMS.