Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 40, Number 2 (2010), 241-268.
Uncertainty principles for the Dunkl transform
Takeshi Kawazoe and Hatem Mejjaoli
Full-text: Open access
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.
Article information
Source
Hiroshima Math. J., Volume 40, Number 2 (2010), 241-268.
Dates
First available in Project Euclid: 2 August 2010
Permanent link to this document
https://projecteuclid.org/euclid.hmj/1280754424
Digital Object Identifier
doi:10.32917/hmj/1280754424
Mathematical Reviews number (MathSciNet)
MR2680659
Zentralblatt MATH identifier
1214.43008
Subjects
Primary: 35C80
Secondary: 51F15: Reflection groups, reflection geometries [See also 20H10, 20H15; for Coxeter groups, see 20F55] 43A32: Other transforms and operators of Fourier type
Keywords
Dunkl transform Hardy’s type theorem Cowling-Price’s theorem Beurling’s theorem Miyachi’s theorem Donoho-Stark’s uncertainty principle
Citation
Kawazoe, Takeshi; Mejjaoli, Hatem. Uncertainty principles for the Dunkl transform. Hiroshima Math. J. 40 (2010), no. 2, 241--268. doi:10.32917/hmj/1280754424. https://projecteuclid.org/euclid.hmj/1280754424
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