Miyachi's theorem for the Dunkl transform

F. Chouchenea, R. Daherb, Takeshi Kawazoe, H. Mejjaolid

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Miyachi's theorem is obtained for the Dunkl transform.

Original languageEnglish
Pages (from-to)167-173
Number of pages7
JournalIntegral Transforms and Special Functions
Volume22
Issue number3
DOIs
Publication statusPublished - 2011 Jan 16

Fingerprint

Dunkl Transform
Fourier transforms
Uncertainty Principle
Theorem
Fourier transform
Euclidean
Uncertainty

Keywords

  • Dunkl transform
  • Miyachi's theorem

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

Cite this

Miyachi's theorem for the Dunkl transform. / Chouchenea, F.; Daherb, R.; Kawazoe, Takeshi; Mejjaolid, H.

In: Integral Transforms and Special Functions, Vol. 22, No. 3, 16.01.2011, p. 167-173.

Research output: Contribution to journalArticle

Chouchenea, F. ; Daherb, R. ; Kawazoe, Takeshi ; Mejjaolid, H. / Miyachi's theorem for the Dunkl transform. In: Integral Transforms and Special Functions. 2011 ; Vol. 22, No. 3. pp. 167-173.
@article{5f91bffffdb74b2c848a19c6daf0877a,
title = "Miyachi's theorem for the Dunkl transform",
abstract = "The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Miyachi's theorem is obtained for the Dunkl transform.",
keywords = "Dunkl transform, Miyachi's theorem",
author = "F. Chouchenea and R. Daherb and Takeshi Kawazoe and H. Mejjaolid",
year = "2011",
month = "1",
day = "16",
doi = "DOI: 10.1080/10652469.2010.505029",
language = "English",
volume = "22",
pages = "167--173",
journal = "Integral Transforms and Special Functions",
issn = "1065-2469",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - Miyachi's theorem for the Dunkl transform

AU - Chouchenea, F.

AU - Daherb, R.

AU - Kawazoe, Takeshi

AU - Mejjaolid, H.

PY - 2011/1/16

Y1 - 2011/1/16

N2 - The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Miyachi's theorem is obtained for the Dunkl transform.

AB - The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Miyachi's theorem is obtained for the Dunkl transform.

KW - Dunkl transform

KW - Miyachi's theorem

UR - http://www.scopus.com/inward/record.url?scp=78751551646&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751551646&partnerID=8YFLogxK

U2 - DOI: 10.1080/10652469.2010.505029

DO - DOI: 10.1080/10652469.2010.505029

M3 - Article

AN - SCOPUS:78751551646

VL - 22

SP - 167

EP - 173

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

SN - 1065-2469

IS - 3

ER -