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Uncertainty Principles for the Fourier Transforms in Quantum Calculus

Quantum Algebra 2016-09-07 v1 Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.math/0602658,
  title  = {Uncertainty Principles for the Fourier Transforms in Quantum Calculus},
  author = {Neji Bettaibi and Ahmed Fitouhi and Wafa Binous},
  journal= {arXiv preprint arXiv:math/0602658},
  year   = {2016}
}

Comments

11 pages. Submitted to JMAA