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 |
|---|---|
| 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
Fingerprint Dive into the research topics of 'Uncertainty principles for the Dunkl transform'. Together they form a unique fingerprint.
Cite this
Kawazoe, T., & Mejjaoli, H. (2010). Uncertainty principles for the Dunkl transform. Hiroshima Mathematical Journal, 40(2), 241-268. https://doi.org/10.32917/hmj/1280754424