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 | |
| Publication status | Published - 2012 Aug 1 |
Keywords
- Beurling's theorem
- Cherednik operators
- Cherednik transform
- Miyachi's theorem
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Daher, R., Hamad, S. L., Kawazoe, T., & Shimeno, N. (2012). Uncertainty principles for the Cherednik transform. Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 122(3), 429-436. https://doi.org/10.1007/s12044-012-0079-2