Calderón s reproducing Formula For q-Bessel operator

DOI10.4067/S0719-06462015000200008zbMath1329.05031MaRDI QIDQ3465906

Belgacem Selmi

Publication date: 29 January 2016

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

\(q\)-calculus\(q\)-Fourier Bessel transform\(q\)-measure\(q\)-Bessel convolution\(q\)-Calderon

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• Calderón type formula in quantum calculus
• Positivity of the generalized translation associated with the \(q\)-Hankel transform
• Calderón's reproducing formula for Hankel convolution
• Distribution and convolution product in quantum calculus
• The \textit{q-j}\(_\alpha\) Bessel function
• Calderón's reproducing formula and singular integral operators on a real line
• Distribution of positive type in Quantum Calculus
• On q-Analogues of the Fourier and Hankel Transforms
• Characterization of Weighted Besov Spaces
• Intermediate spaces and interpolation, the complex method
• A characterization of weighted Besov spaces in quantum calculus