The Research of Multiple Subspace Pseudoframes with Integer Translation
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. The definition of multiple pseudofames for subspaces with integer translation is proposed. The notion of a generalized multiresolution structure (GMS) of is also introduced. The construction of a GMS of Paley-Wiener subspaces of is investigated. The pyramid decomposition scheme is derived based on a GMS. As a major new constribution the sufficient condition for the existence of multiple pseudoframes for subspaces is derived based on such a GMS.
J. C. Shi and S. W. Guo, "The Research of Multiple Subspace Pseudoframes with Integer Translation ", Key Engineering Materials, Vols. 439-440, pp. 1129-1134, 2010