Uncertainty principles for the Dunkl transform
Takeshi Kawazoe and Hatem Mejjaoli
Source: Hiroshima Math. J. Volume 40, Number 2
(2010), 241-268.
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.
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Keywords: Dunkl transform; Hardy’s type theorem; Cowling-Price’s theorem; Beurling’s theorem; Miyachi’s theorem; Donoho-Stark’s uncertainty principle
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Permanent link to this document: http://projecteuclid.org/euclid.hmj/1280754424
Mathematical Reviews number (MathSciNet): MR2680659
Zentralblatt MATH identifier: 05831952
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