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

研究成果: Article › 査読

8 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	429-436
ページ数	8
ジャーナル	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
巻	122
号	3
DOI	https://doi.org/10.1007/s12044-012-0079-2
出版ステータス	Published - 2012 8月
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.1007/s12044-012-0079-2

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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.

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KW - Cherednik operators

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KW - Miyachi's theorem

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Uncertainty principles for the Cherednik transform

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