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 |
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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 | |
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)