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