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Subspace affine pseudoframes with a generalized multiresolution structure and the pyramid decomposition scheme

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2 Author(s)
Suluo Song ; Department of Applied Mathematics, Nanyang Institute of Technology, Nanyang 473004, China ; Man Wang

The rise of frame theory in applied mathematics is due to the flexibility and redundancy of frames. In this work, the notion of a generalized multiresolution structure of L2(R) is proposed. The definition of multiple pseudoframes for subspaces of L2(R) is given. The construction of a generalized multiresolution structure of Paley-Wiener subspaces of L2(R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces of L2(R) is derived based on such a generalized multiresolution structure. The pyramid decomposition scheme is also obtained.

Published in:

Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on

Date of Conference:

16-18 April 2010