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Wavelet packets associated with singular partial differential operators

Abstract

In this paper, we study some types of wavelet packets and the corresponding wavelet transforms associated with the Riemann-Liouville operator on the half plane [0, +?[?R. For these transforms, we establish Plancherel theorems, orthogonality properties, Calder?n?s reproducing formulas, reconstruction formulas and their scale discrete scaling functions.

Research topics

  • Mathematical Analysis and Transform Methods
  • Image and Signal Denoising Methods
  • Medical Image Segmentation Techniques

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DOI: 10.2298/fil2520967h

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