Uncertainty Principles for the Fourier Transforms in Quantum Calculus

2006/02/28 by Néji Bettaibi, Bettaibi, Neji, Ahmed Fitouhi +3
Mathematics · #58B30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Mathematical functions and polynomials #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0602658

openalex publication_date 2006/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 \citeFB and for the q-Fourier-sine transform.

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