scientific article; zbMATH DE number 7041441
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Publication:4628967
zbMath1408.33029MaRDI QIDQ4628967
Publication date: 25 March 2019
Full work available at URL: http://bmathaa.org/repository/docs/BMAA7-1-3.pdf
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uncertainty principleHardy's theoremgeneralized \(q\)-Bessel Fourier transformgeneralized \(q\)-Bessel functiongeneralized \(q\)-Macdonald function
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
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Cites Work
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- Positivity of the generalized translation associated with the \(q\)-Hankel transform
- Paley-Wiener theorem for the \(q\)-Bessel transform and associated \(q\)-sampling formula
- The uncertainty principle: A mathematical survey
- The \textit{q-j}\(_\alpha\) Bessel function
- On Hardy's inequality for symmetric integral transforms and analogous
- On Hardy's uncertainty principle for connected nilpotent Lie groups
- On the $q$-Bessel Fourier transform
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