ON SOME PROPERTIES OF P-WAVELET PACKETS VIA THE WALSH-FOURIER TRANSFORM

Authors

  • FIRDOUS AHMAS SHAH Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu andKashmir, India

Keywords:

p-Multiresolution analysis, p-Wavelet packets, Riesz basis, Walsh functions, Walsh-Fourier transform

Abstract

A novel method for the construction of orthogonal $p$-wavelet packets on a positive half-line R+ was given by the author in [Construction of wavelet packets on $p$-adic field, Int. J. Wavelets Multiresolut. Inf. Process., 7(5) (2009), pp. 553-565]. In this paper, we investigate their properties by means of the Walsh-Fourier transform. Three orthogonal formulas regarding these p-wavelet packets are derived.

Additional Files

Published

08/20/2012

Issue

Vol. 3 No. 2 (2012): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.