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 |
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Keywords
- Beurling's theorem
- Cherednik operators
- Cherednik transform
- Miyachi's theorem
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Uncertainty principles for the Cherednik transform. / Daher, R.; Hamad, S. L.; Kawazoe, Takeshi; Shimeno, N.
In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, Vol. 122, No. 3, 08.2012, p. 429-436.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Uncertainty principles for the Cherednik transform
AU - Daher, R.
AU - Hamad, S. L.
AU - Kawazoe, Takeshi
AU - Shimeno, N.
PY - 2012/8
Y1 - 2012/8
N2 - 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.
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.
KW - Beurling's theorem
KW - Cherednik operators
KW - Cherednik transform
KW - Miyachi's theorem
UR - http://www.scopus.com/inward/record.url?scp=84866638980&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84866638980&partnerID=8YFLogxK
U2 - 10.1007/s12044-012-0079-2
DO - 10.1007/s12044-012-0079-2
M3 - Article
AN - SCOPUS:84866638980
VL - 122
SP - 429
EP - 436
JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
SN - 0253-4142
IS - 3
ER -