We construct explicitly (nonpolynomial) eigenfunctions of the difference operators by Macdonald in the case t=q k , k Β₯ Z. This leads to a new, more elementary proof of several Macdonald conjectures, proved first by Cherednik. We also establish the algebraic integrability of Macdonald operators at t
β¦ LIBER β¦
Algebraic integrability: a survey
β Scribed by Vanhaecke, P.
- Book ID
- 126936801
- Publisher
- The Royal Society
- Year
- 2007
- Tongue
- English
- Weight
- 350 KB
- Volume
- 366
- Category
- Article
- ISSN
- 0264-3952
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