Mellin-Fourier series and the classical Mellin transform

DOI10.1016/S0898-1221(00)00139-5zbMath0959.44006MaRDI QIDQ1570060

Stefan Jansche, Paul L. Butzer

Publication date: 13 November 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Mellin derivativesconvergence theorysignal analysisexponential sampling theoremfinite Mellin transformationMellin antiderivativesMellin-Fourier seriesMellin-Poisson series formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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Cites Work

• The sampling theorem and linear prediction in signal analysis
• A direct approach to the Mellin transform
• Mellin-type differential equations and associated sampling expansions
• A self-contained approach to mellin transform analysis for square integrable functions; applications
• Exponential-sampling method for Laplace and other dilationally invariant transforms: I. Singular-system analysis
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction
• COMPLEX FOURIER--BESSEL TRANSFORMS
• What is the Laplace Transform?
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