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Uncertainty principles for the Cherednik transform |
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| Authors: | R DAHER S L HAMAD T KAWAZOE N SHIMENO |
| Institution: | 1. Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco 2. Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa, 252-8520, Japan 3. School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City, 6691337, Japan |
| Abstract: | We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space $\mathfrak a$ ; Miyachi??s theorem and Beurling??s theorem. We give an analogue of Miyachi?? theorem for the Cherednik transform and under the assumption that $\mathfrak a$ has a hypergroup structure, an analogue of Beurling??s theorem for the Cherednik transform. |
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