A quantum wavelet uncertainty principle
Abstract
The aim of this paper is to derive a new uncertainty principle for the generalized q-Bessel wavelet transform studied earlier in 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.
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