Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou)

DOI10.1006/jfan.1999.3449zbMath0934.43005OpenAlexW1987399019MaRDI QIDQ1125287

Patrick Delorme

Publication date: 25 April 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3449

zbMATH Keywords

difference operatorsunipotent radicalhypergeometric Fourier transformhypergeometric systemcuspidal hypergeometric functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items (6)

An analogue to the Duistermaat-Kolk-Varadarajan estimate for the spherical functions associated with the root systems of type \(A\) ⋮ Uncertainty principles for the Heckman-Opdam transform ⋮ \(L^p\) harmonic analysis for differential-reflection operators ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\) ⋮ Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications ⋮ \(L^{p}\)-Fourier analysis for certain differential-reflection operators

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