On some inequalities of uncertainty principles type in quantum calculus (Q938532)

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scientific article; zbMATH DE number 5313299
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On some inequalities of uncertainty principles type in quantum calculus
scientific article; zbMATH DE number 5313299

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    On some inequalities of uncertainty principles type in quantum calculus (English)
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    19 August 2008
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    Summary: The aim of this paper is to generalize the \(q\)-Heisenberg uncertainty principles studied bythe authors in an earlier paper to state local uncertainty principles for the \(q\)-Fourier-cosine, the \(q\)-Fourier-sine, and the \(q\)-Bessel-Fourier transforms, then to provide an inequality of Heisenberg-Weyl-type for the \(q\)-Bessel-Fourier transform.
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