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Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform
Journal article   Peer reviewed

Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform

Saifallah Ghobber
Indian journal of pure and applied mathematics, Vol.54(1), pp.224-240
01/03/2023

Abstract

Mathematics Physical Sciences Science & Technology
The aim of this paper is to prove Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform, involving the the time and scale dispersions, showing that, the Dunkl wavelet transform of a nonzero function cannot be concentrated both in time and in scale in the time-scale domain. These inequalities are the consequences of other stronger uncertainty inequalities, which are the local and logarithmic uncertainty inequalities for the Dunkl wavelet transform.

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