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Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform

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  • Saifallah Ghobber

    (King Faisal University
    Université de Tunis El Manar)

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.

Suggested Citation

  • Saifallah Ghobber, 2023. "Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(1), pages 224-240, March.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:1:d:10.1007_s13226-022-00246-5
    DOI: 10.1007/s13226-022-00246-5
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    References listed on IDEAS

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    1. H. Lamouchi & S. Omri, 2017. "Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function," Indian Journal of Pure and Applied Mathematics, Springer, vol. 48(1), pages 147-161, March.
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