Uncertainty Principles for the Fourier Transforms in Quantum Calculus

Details Uncertainty Principles for the Fourier Transforms in Quantum Calculus Uncertainty Principles for the Fourier Transforms in Quantum Calculus

2006-02-28

arxiv.org/abs/math/0602658v1

Mathematics

Quantum Algebra

11 pages. Submitted to JMAA

Scientific paper

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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