| Title:
|
Hardy and Cowling-Price theorems for a Cherednik type operator on the real line (English) |
| Author:
|
Mourou, Mohamed Ali |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
7-22 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is aimed to establish Hardy and Cowling-Price type theorems for the Fourier transform tied to a generalized Cherednik operator on the real line. (English) |
| Keyword:
|
differential-difference operator |
| Keyword:
|
generalized Fourier transform |
| Keyword:
|
Hardy and Cowling-Price theorems |
| MSC:
|
33C45 |
| MSC:
|
43A15 |
| MSC:
|
43A32 |
| MSC:
|
44A15 |
| idZBL:
|
Zbl 06433802 |
| idMR:
|
MR3311574 |
| DOI:
|
10.14712/1213-7243.015.102 |
| . |
| Date available:
|
2015-03-10T17:30:55Z |
| Last updated:
|
2017-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144185 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
[3] Cherednik I.: A unification of Knizhnik-Zamolodchikov equations and Dunkl operators via affine Hecke algebras.Invent. Math. 106 (1991), 411–432. MR 1128220, 10.1007/BF01243918 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[12] Opdam E.: Dunkl Operators for Real and Complex Reflection Groups.MSJ Memoirs, 8, Mathematical Society of Japan, Tokyo, 2000. Zbl 0984.33001, MR 1805058 |
| Reference:
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| Reference:
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[14] Trimèche K.: Inversion of the Lions transmutation operators using generalized wavelets.Appl. Comput. Harmon. Anal. 4 (1997), 97–112. Zbl 0872.34059, MR 1429682, 10.1006/acha.1996.0206 |
| Reference:
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[15] Trimèche K.: Cowling-Price and Hardy theorems on Chébli-Trimèche hypergroups.Glob. J. Pure Appl. Math. 1 (2005), no. 3, 286–305. Zbl 1122.43005, MR 2243232 |
| Reference:
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| Reference:
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| . |
