Uncertainty principles for the Cherednik transform

R. Daher; S. L. Hamad; T. Kawazoe; N. Shimeno

doi:10.1007/s12044-012-0079-2

Uncertainty principles for the Cherednik transform

R. Daher, S. L. Hamad, T. Kawazoe, N. Shimeno

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

7 Citations (Scopus)

Abstract

We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space a; Miyachi's theorem and Beurling's theorem. We give an analogue of Miyachi' theorem for the Cherednik transform and under the assumption that o has a hypergroup structure, an analogue of Beurling's theorem for the Cherednik transform.

Original language	English
Pages (from-to)	429-436
Number of pages	8
Journal	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume	122
Issue number	3
DOIs	https://doi.org/10.1007/s12044-012-0079-2
Publication status	Published - 2012 Aug
Externally published	Yes

Keywords

Beurling's theorem
Cherednik operators
Cherednik transform
Miyachi's theorem

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s12044-012-0079-2

Cite this

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abstract = "We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space a; Miyachi's theorem and Beurling's theorem. We give an analogue of Miyachi' theorem for the Cherednik transform and under the assumption that o has a hypergroup structure, an analogue of Beurling's theorem for the Cherednik transform.",

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AU - Hamad, S. L.

AU - Kawazoe, T.

AU - Shimeno, N.

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AB - We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space a; Miyachi's theorem and Beurling's theorem. We give an analogue of Miyachi' theorem for the Cherednik transform and under the assumption that o has a hypergroup structure, an analogue of Beurling's theorem for the Cherednik transform.

KW - Beurling's theorem

KW - Cherednik operators

KW - Cherednik transform

KW - Miyachi's theorem

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Uncertainty principles for the Cherednik transform

Abstract

Keywords

ASJC Scopus subject areas

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