Uncertainty principles for the Dunkl transform

Takeshi Kawazoe, Hatem Mejjaoli

Research output: Contribution to journalArticle

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 journalArticle

Kawazoe, Takeshi ; Mejjaoli, Hatem. / Uncertainty principles for the Dunkl transform. In: Hiroshima Mathematical Journal. 2010 ; Vol. 40, No. 2. pp. 241-268.
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