BIORTHOGONAL p–WAVELET PACKETS RELATED TO THE WALSH POLYNOMIALS

نویسنده

  • F. A. SHAH
چکیده

This paper deals with the construction of biorthogonal p -wavelet packets on R+ related to the Walsh polynomials and their properties are investigated by means of Walsh-Fourier transform. Three biorthogonal formulas regarding these p -wavelet packets are derived. Moreover, it is shown how to obtain several new Riesz bases of the space L2(R+) by constructing a series of subspaces of these p -wavelet packets. Mathematics subject classification (2010): 42C40, 42C15, 42C10.

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تاریخ انتشار 2012