A quantum wavelet uncertainty principle
arXiv:2103.04078
Abstract
The aim of this paper is to derive a new uncertainty principle for the generalized -Bessel wavelet transform studied earlier in \cite{Rezguietal}. In this paper, an uncertainty principle associated with wavelet transforms in the -calculus framework has been established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is exploited next to explore a wavelet uncertainty principle already in the -calculus framework.
16 pages