Representations, Wavelets, and Frames

Part of the series Applied and Numerical Harmonic Analysis pp 103-130

Recent Developments on Dual Wavelet Frames

  • Bin HanAffiliated withDepartment of Mathematical and Statistical Sciences, University of Alberta

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We discuss some recent developments on pairs of dual wavelet frames in Sobolev spaces constructed by the Oblique Extension Principle (OEP) from refinable function vectors. Our investigation sheds a new light on understanding the OEP method for constructing MRA (multiresolution analysis) dual wavelet frames.