Uncertainty principles for the \(q\)-Hankel-Stockwell transform

DOI10.1007/s11253-023-02244-0OpenAlexW4389096697MaRDI QIDQ6147995

Kamel Brahim, Hédi Ben Elmonser

Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02244-0

zbMATH Keywords

\(q\)-Jackson integralHeisenberg's uncertainty principles

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities for sums, series and integrals (26D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

• The Mellin transform in quantum calculus
• Calderón's reproducing formula and uncertainty principle for the continuous wavelet transform associated with the \(q\)-Bessel operator
• Uncertainty principles for the Hankel-Stockwell transform
• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
• On the $q$-Bessel Fourier transform
• Quantum calculus
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