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Annals of Mathematics, II. Series Vol. 150, No. 1, pp. 267282 (1999) 

Nonsymmetric Koornwinder polynomials and dualitySiddhartha SahiReview from Zentralblatt MATH: Recently I. Cherednik has introduced the notion of a double affine Hecke algebra, and has used it to prove several conjectures on Macdonald polynomials [see {\it I. Cherednik}, Ann. Math., II. Ser. 141, No. 1, 191216 (1995; Zbl 0869.33012)]. Using the introduced double affine Hecke algebra the duality conjecture is proved in this paper. Reviewed by B.Baumeister Keywords: Macdonald polynomials; Koornwinder polynomials; AskeyWilson polynomials; affine Hecke algebra; double affine Hecke algebra; duality conjecture Classification (MSC2000): 33D80 33C45 05E15 05E35 17B20 Full text of the article:
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