A quantum wavelet uncertainty principle. arXiv:2103.04078
Preprint, arXiv:2103.04078 [math-ph] (2021).
Summary: The aim of this paper is to derive a new uncertainty principle for the generalized \(q\)-Bessel wavelet transform studied earlier in \cite{Rezguietal}. In this paper, an uncertainty principle associated with wavelet transforms in the \(q\)-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 \(q\)-calculus framework.
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 33C10 | Bessel and Airy functions, cylinder functions, \({}_0F_1\) |
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