Wavelet Transforms in Quantum Calculus

DOI10.2991/jnmp.2006.13.4.4zbMath1282.42036OpenAlexW2167440393MaRDI QIDQ3432975

Ahmed Fitouhi, Néji Bettaibi

Publication date: 19 April 2007

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1008.8921

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (11)

Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory ⋮ Natural transform of two variables in \(q\)-calculus with applications ⋮ Certain results related to the \(N\)-transform of a certain class of functions and differential operators ⋮ Some results for Laplace-type integral operator in quantum calculus ⋮ Unnamed Item ⋮ On the quantum theory of the natural transform and some applications ⋮ On q-analogues of the natural transform of certain q-Bessel functions and some application ⋮ Unnamed Item ⋮ \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory ⋮ Localization operators associated with the q-Bessel wavelet transform and applications ⋮ Two-wavelet theory and two-wavelet localization operators on the q-Dunkl harmonic analysis

Cites Work

• The q-analogue of Stirling's formula
• The Mellin transform in quantum calculus
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
• The \textit{q-j}\(_\alpha\) Bessel function
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape

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