Uncertainty Inequalities for Continuous Laguerre Wavelet Transform

Authors

  • Soumeya Hamem
  • Selma Negzaoui

Keywords:

Continuous Laguerre wavelet transform; Heisenberg inequality; uncertainty principle; Time frequency concentration theorems; local uncertainty principle. 2010 Mathematics Subject Classification. 42C40; 42B10.

Abstract

This paper deals with the Continuous Laguerre Wavelet Transform CLWT, and we prove several versions of the uncertainty
inequalities. More precisely, we get the analogue of Heisenberg inequality for CLWT. Moreover, dealing with concentration in time
and frequency, we find an L p local type uncertainty principle. Finally, we provide the analogue of Benedicks Amrein Berthier’s type
theorem in the case of CLWT.
 

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Published

2024-09-12

How to Cite

Hamem, S., & Negzaoui, S. (2024). Uncertainty Inequalities for Continuous Laguerre Wavelet Transform. Jordan Journal of Mathematics and Statistics, 17(2). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/378

Issue

Vol. 17 No. 2 (2024)

Section

Articles