On some inequalities of uncertainty principles type in quantum calculus. (English) Zbl 1152.33313
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.
MSC:
| 33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
References:
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