<p>In this paper, we present a novel Mehler-Fock wavelet packet transform. We then give its Plancherel, inversion, and Calderón formulas. By a simple modification of the dilation and translation parameters, we obtain the so-called discrete Mehler-Fock wavelet packet transform, and we give some of its properties.</p>

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A NOVEL MEHLER-FOCK WAVELET PACKET TRANSFORM

  • Abdelaali Dades

摘要

In this paper, we present a novel Mehler-Fock wavelet packet transform. We then give its Plancherel, inversion, and Calderón formulas. By a simple modification of the dilation and translation parameters, we obtain the so-called discrete Mehler-Fock wavelet packet transform, and we give some of its properties.