arXiv:2103.04078 · Fractal and Fractional

A Quantum Wavelet Uncertainty Principle

Sabrine Arfaoui, Maryam G. Alshehri, Anouar Ben Mabrouk

Published Dec 24, 2021• 3 citations

Abstract

In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is used for exploring a wavelet uncertainty principle in the q-calculus framework.

DOI: 10.3390/fractalfract6010008

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