Annals of Mathematics, II. Series, Vol. 150, No. 1, pp. 267-282, 1999

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Annals of Mathematics, II. Series
Vol. 150, No. 1, pp. 267-282 (1999)

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Nonsymmetric Koornwinder polynomials and duality

Siddhartha Sahi

Review 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, 191-216 (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; Askey-Wilson polynomials; affine Hecke algebra; double affine Hecke algebra; duality conjecture

Classification (MSC2000): 33D80 33C45 05E15 05E35 17B20

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Electronic fulltext finalized on: 19 Aug 2001. This page was last modified: 21 Jan 2002.

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