Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform

Saifallah Ghobber ()
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Saifallah Ghobber: King Faisal University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 224-240

Abstract: Abstract 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.

Keywords: Time-scale concentration; Dunkl wavelet transform; Uncertainty principles; 81S30; 94A12; 45P05; 42C25; 42C40 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00246-5

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