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July 2010 Uncertainty principles for the Dunkl transform
Takeshi Kawazoe, Hatem Mejjaoli
Hiroshima Math. J. 40(2): 241-268 (July 2010). DOI: 10.32917/hmj/1280754424

Abstract

The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price’s theorem, Beurling’s theorem and Donoho-Stark’s uncertainty principle are obtained for the Dunkl transform.

Citation

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Takeshi Kawazoe. Hatem Mejjaoli. "Uncertainty principles for the Dunkl transform." Hiroshima Math. J. 40 (2) 241 - 268, July 2010. https://doi.org/10.32917/hmj/1280754424

Information

Published: July 2010
First available in Project Euclid: 2 August 2010

zbMATH: 1214.43008
MathSciNet: MR2680659
Digital Object Identifier: 10.32917/hmj/1280754424

Subjects:
Primary: 35C80
Secondary: ‎43A32, 51F15

Rights: Copyright © 2010 Hiroshima University, Mathematics Program

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Vol.40 • No. 2 • July 2010
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