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q-Selberg Integrals and Macdonald Polynomials

✍ Scribed by S. Ole Warnaar

Publisher
Springer US
Year
2005
Tongue
English
Weight
350 KB
Volume
10
Category
Article
ISSN
1382-4090

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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

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