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2001 An analogue of Hardy’s theorem for the Heckman-Opdam transform
Nobukazu Shimeno
J. Math. Kyoto Univ. 41(2): 251-256 (2001). DOI: 10.1215/kjm/1250517631

Abstract

A theorem of Hardy asserts that a function on the real line and its Fourier transform cannot both be very small. We generalize Hardy’s theorem for the Heckman-Opdam transform associated with hypergeometric functions.

Citation

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Nobukazu Shimeno. "An analogue of Hardy’s theorem for the Heckman-Opdam transform." J. Math. Kyoto Univ. 41 (2) 251 - 256, 2001. https://doi.org/10.1215/kjm/1250517631

Information

Published: 2001
First available in Project Euclid: 17 August 2009

zbMATH: 1003.43005
MathSciNet: MR1852982
Digital Object Identifier: 10.1215/kjm/1250517631

Subjects:
Primary: 43A30
Secondary: 33C60 , 43A85

Rights: Copyright © 2001 Kyoto University

Vol.41 • No. 2 • 2001
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