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Uncertainty Principles for the Fourier Transforms in Quantum Calculus

Neji Bettaibi·Ahmed Fitouhi·Wafa Binous
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Abstract

Some properties of the $q$-Fourier-sine transform are studied and $q$-analogues of the Heisenberg uncertainty principle is derived for the $q$-Fourier-cosine transform studied in \cite{FB} and for the $q$-Fourier-sine transform.

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BibTeXRIS

Neji Bettaibi, Ahmed Fitouhi, Wafa Binous. 2006-02-28. Uncertainty Principles for the Fourier Transforms in Quantum Calculus. https://arxiv.org/abs/math/0602658

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