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Uncertainty principles for continuous wavelet transforms related to the Riemann–Liouville operator

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Abstract

In this paper we define and study the continuous wavelet transforms associated with the Riemann–Liouville operator, we give nice harmonic analysis results. Next we establish an analogue of Heisenberg’s inequality related to the wavelet transform. Last, we study the wavelet transform on subset of finite measures which deals with time frequency theory.

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Authors and Affiliations

  1. Faculté des Sciences de Tunis, UR11ES23 Analyse géométrique et harmonique, Université de Tunis El-Manar, El Manar 2, 2092, Tunis, Tunisia

    Lakhdar T. Rachdi & Hajer Herch

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  1. Lakhdar T. Rachdi
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  2. Hajer Herch
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Correspondence to Lakhdar T. Rachdi.

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Rachdi, L.T., Herch, H. Uncertainty principles for continuous wavelet transforms related to the Riemann–Liouville operator. Ricerche mat 66, 553–578 (2017). https://doi.org/10.1007/s11587-017-0320-5

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  • DOI: https://doi.org/10.1007/s11587-017-0320-5

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