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.
Original language | English |
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Pages (from-to) | 241-268 |
Number of pages | 28 |
Journal | Hiroshima Mathematical Journal |
Volume | 40 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2010 Jul |
Keywords
- Beurling's theorem
- Cowling-price's theorem
- Donoho-stark's uncertainty principle
- Dunkl transform
- Hardy's type theorem
- Miyachi's theorem
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology