Duhamel solutions of non-homogeneous $q^2$-analogue wave equations

DOI10.1090/S0002-9939-06-08525-XzbMath1109.39021MaRDI QIDQ3420050

Richard L. Rubin

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier multipliers\(q\)-integralFourier convolutionsFourier solutionD'Alembert solution\(\partial q\) wave equation\(q^2\)-analogue differential operator\(q^2\)-analogue Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discrete version of topics in analysis (39A12)

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Cites Work

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• A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis
• On q-Analogues of the Fourier and Hankel Transforms
• The limit transition q→1 of the q-Fourier transform
• Basic analog of Fourier series on a \(q\)-linear grid.