Uncertainty Principles for the Fourier Transforms in Quantum Calculus
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🧮 math.QA
math-phmath.MP
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transformfourier-sinestudieduncertaintyanaloguescalculuscitederived
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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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