Malaya Journal of Matematik
Uncertainty principles for the continuous wavelet transform associated with a Bessel type operator on the half line
Cyrine Baccar, Aicha Kabache
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