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Continuous wavelet transform and uncertainty principle related to the Weinstein operator
Journal article   Peer reviewed

Continuous wavelet transform and uncertainty principle related to the Weinstein operator

K. Hleili
Integral transforms and special functions, Vol.29(4), pp.252-268
03/04/2018
DOI: https://doi.org/10.1080/10652469.2018.1428581

Abstract

admissible wavelet uncertainty principles wavelet transform Weinstein operator
In this paper, we define and study the continuous wavelet transform associated with the Weinstein operator. Next, we analyse the concentration of this transform on sets of finite measure. We also establish an analogue of Heisenberg's inequality for wavelet transform. Last, we prove a quantitative version of Shapiro's mean dispersion theorem for the continuous wavelet transform.

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