### 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 |

Publication status | Published - 2010 Jul |

### Fingerprint

### 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

- Algebra and Number Theory
- Analysis
- Geometry and Topology

### Cite this

*Hiroshima Mathematical Journal*,

*40*(2), 241-268.

**Uncertainty principles for the Dunkl transform.** / Kawazoe, Takeshi; Mejjaoli, Hatem.

Research output: Contribution to journal › Article

*Hiroshima Mathematical Journal*, vol. 40, no. 2, pp. 241-268.

}

TY - JOUR

T1 - Uncertainty principles for the Dunkl transform

AU - Kawazoe, Takeshi

AU - Mejjaoli, Hatem

PY - 2010/7

Y1 - 2010/7

N2 - 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.

AB - 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.

KW - Beurling's theorem

KW - Cowling-price's theorem

KW - Donoho-stark's uncertainty principle

KW - Dunkl transform

KW - Hardy's type theorem

KW - Miyachi's theorem

UR - http://www.scopus.com/inward/record.url?scp=77955627317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955627317&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77955627317

VL - 40

SP - 241

EP - 268

JO - Hiroshima Mathematical Journal

JF - Hiroshima Mathematical Journal

SN - 0018-2079

IS - 2

ER -