A self-contained approach to mellin transform analysis for square integrable functions; applications

DOI10.1080/10652469908819226zbMath0961.44005OpenAlexW2136870870MaRDI QIDQ4500500

Paul L. Butzer, Stefan Jansche

Publication date: 18 January 2001

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469908819226

zbMATH Keywords

Fourier transformLaplace transformexponential samplingMellin translation and convolutionMellin-Fourier seriesfinite Mellin transformsMellin transforms for square integrable functionsMellin-bandlimited signalsMellin-Kramer sampling theory

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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Cites Work

• A direct approach to the Mellin transform
• Some dual integral equations involving inverse finite Mellin transforms
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction
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