Uncertainty principles for the continuous wavelet transform associated with a Bessel type operator on the half line

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DOI:

https://doi.org/10.26637/mjm1203/007

Abstract

This paper presents uncertainty principles pertaining to generalized wavelet transforms associated with a second-order differential operator on the half line, extending the concept of the Bessel operator. Specifically, we derive a Heisenberg-Pauli-Weyl type uncertainty principle, as well as other uncertainty relations involving sets of finite measure

Keywords:

Bessel type transform, generalized continuous wavelet transforms, uncertainty principles

Mathematics Subject Classification:

42B10, 43A32
  • Cyrine Baccar University of Tunis El Manar, Higher Institute of Informatics, 2080, Ariana
  • Aicha Kabache University of Tunis El Manar, Faculty of Sciences of Tunis, 1068, Tunis, Tunisia.
  • Pages: 290-306
  • Date Published: 01-07-2024
  • Vol. 12 No. 03 (2024): Malaya Journal of Matematik (MJM)

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Published

01-07-2024

How to Cite

Baccar, C., and A. Kabache. “Uncertainty Principles for the Continuous Wavelet Transform Associated With a Bessel Type Operator on the Half Line”. Malaya Journal of Matematik, vol. 12, no. 03, July 2024, pp. 290-06, doi:10.26637/mjm1203/007.