Uncertainty principles for the Cherednik transform

被引：9

作者：

Daher, R. ^{[1
]}

Hamad, S. L. ^{[1
]}

Kawazoe, T. ^{[2
]}

Shimeno, N. ^{[3
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Casablanca, Morocco

[2] Keio Univ, Dept Math, Fujisawa, Kanagawa 2528520, Japan

[3] Kwansei Gakuin Univ, Sch Sci & Technol, Sanda City 6691337, Japan

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2012年 / 122卷 / 03期

关键词：

Cherednik operators; Cherednik transform; Miyachi's theorem; Beurling's theorem; THEOREM; FOURIER;

D O I：

10.1007/s12044-012-0079-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：429 / 436

页数：8

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