Fourier transforms related to a root system of rank 1.
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| Publication date | 2007 |
| Journal | Transformation Groups |
| Volume | Issue number | 12 | 1 |
| Pages (from-to) | 77-116 |
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| Abstract |
Abstract : We introduce an algebra $\mathcal H$ consisting of difference-reflection operators and multiplication operators that can be considered as a q = 1 analogue of Sahi's double affine Hecke algebra related to the affine root system of type $(C^\vee_1, C_1)$ . We study eigenfunctions of a Dunkl-Cherednik-type operator in the algebra $\mathcal H$ , and the corresponding Fourier transforms. These eigenfunctions are nonsymmetric versions of the Wilson polynomials and the Wilson functions. |
| Document type | Article |
| Published at |
https://doi.org/10.1007/s00031-005-1124-5
(Final published version)
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