Miyachi's theorem for the Dunkl transform

F. Chouchenea; R. Daherb; T. Kawazoec; H. Mejjaolid

doi:10.1080/10652469.2010.505029

Miyachi's theorem for the Dunkl transform

F. Chouchenea, R. Daherb, T. Kawazoec, H. Mejjaolid

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	167-173
Number of pages	7
Journal	Integral Transforms and Special Functions
Volume	22
Issue number	3
DOIs	https://doi.org/10.1080/10652469.2010.505029
Publication status	Published - 2011 Jan 16
Externally published	Yes

Keywords

Dunkl transform
Miyachi's theorem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/10652469.2010.505029

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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 T. Kawazoec and H. Mejjaolid",

year = "2011",

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doi = "10.1080/10652469.2010.505029",

language = "English",

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journal = "Integral Transforms and Special Functions",

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T1 - Miyachi's theorem for the Dunkl transform

AU - Chouchenea, F.

AU - Daherb, R.

AU - Kawazoec, T.

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

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DO - 10.1080/10652469.2010.505029

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AN - SCOPUS:78751551646

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VL - 22

SP - 167

EP - 173

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 3

ER -

Miyachi's theorem for the Dunkl transform

Abstract

Keywords

ASJC Scopus subject areas

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