Uncertainty principles for the Dunkl transform

Takeshi Kawazoe, Hatem Mejjaoli

Research output: Contribution to journal › Article

22 Citations (Scopus)

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 languageEnglish
Pages (from-to)241-268
Number of pages28
JournalHiroshima Mathematical Journal
Volume40
Issue number2
Publication statusPublished - 2010 Jul

Fingerprint

Dunkl Transform
Uncertainty Principle
Theorem
Fourier transform
Euclidean

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

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

In: Hiroshima Mathematical Journal, Vol. 40, No. 2, 07.2010, p. 241-268.

Research output: Contribution to journal › Article

Kawazoe, T & Mejjaoli, H 2010, 'Uncertainty principles for the Dunkl transform', Hiroshima Mathematical Journal, vol. 40, no. 2, pp. 241-268.
Kawazoe T, Mejjaoli H. Uncertainty principles for the Dunkl transform. Hiroshima Mathematical Journal. 2010 Jul;40(2):241-268.
Kawazoe, Takeshi ; Mejjaoli, Hatem. / Uncertainty principles for the Dunkl transform. In: Hiroshima Mathematical Journal. 2010 ; Vol. 40, No. 2. pp. 241-268.
@article{d9de99d11f914623a3b0c785ca13be29,
title = "Uncertainty principles for the Dunkl transform",
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.",
keywords = "Beurling's theorem, Cowling-price's theorem, Donoho-stark's uncertainty principle, Dunkl transform, Hardy's type theorem, Miyachi's theorem",
author = "Takeshi Kawazoe and Hatem Mejjaoli",
year = "2010",
month = "7",
language = "English",
volume = "40",
pages = "241--268",
journal = "Hiroshima Mathematical Journal",
issn = "0018-2079",
publisher = "Hiroshima University",
number = "2",

}

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

VL - 40

SP - 241

EP - 268

JO - Hiroshima Mathematical Journal

JF - Hiroshima Mathematical Journal

SN - 0018-2079

IS - 2

ER -

Access to Document