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Shapiro’s uncertainty principle and localization operators associated to the continuous wavelet transform

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Abstract

Quantitative Shapiro’s dispersion uncertainty principle and umbrella theorem are proved for the continuous wavelet transform. Also the localization operators associated with the continuous wavelet transform are studied.

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Authors and Affiliations

  1. Département de Mathématiques, Institut Préparatoire aux Etudes d’Ingénieurs El Manar, 2092, El Manar 2, Tunis, Tunisia

    Nadia Ben Hamadi

  2. Département de Mathématiques, Institut Préparatoire aux Etudes d’Ingénieurs Tunis, Monfleury, Tunis, Tunisie

    Haythem Lamouchi

Authors
  1. Nadia Ben Hamadi
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  2. Haythem Lamouchi
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Correspondence to Nadia Ben Hamadi.

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Ben Hamadi, N., Lamouchi, H. Shapiro’s uncertainty principle and localization operators associated to the continuous wavelet transform. J. Pseudo-Differ. Oper. Appl. 8, 35–53 (2017). https://doi.org/10.1007/s11868-016-0175-7

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  • DOI: https://doi.org/10.1007/s11868-016-0175-7

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