Vol. 18 No. 5 (2026): Quantitative Uncertainty Principles Associated with the Sturm-Liouville Wavelet Transform

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  Quantitative Uncertainty Principles Associated with the Sturm-Liouville Wavelet Transform

  Fethi Soltani, Mohamed Hedi Riahi

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  Abstract

  The Sturm-Liouville wavelet transform (SLWT) is a novel addition to the class of Sturm-Liouville transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short span of time. Given that the study of time-frequency analysis is of both theoretically interesting and practically useful, the aim of this paper is to explore a class of quantitative uncertainty principles (UP) associated with SLWT, including Faris local-type UP, Shannon-type UP, Donoho-Stark-type UP and Benedicks-type UP.

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