Geodesic
A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 62-68

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We concisely and directly prove that the interpolation Macdonald polynomials are orthogonal with respect to the Fourier pairing and briefly discuss immediate applications of this fact, in particular, to the symmetry of the Fourier pairing and to the binomial formula.
Keywords: Macdonald polynomials, Fourier pairing
Mots-clés : binomial formula. 
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     author = {A. Yu. Okounkov},
     title = {A {Remark} on the {Fourier} {Pairing} and the {Binomial} {Formula} for the {Macdonald} {Polynomials}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a5/}
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A. Yu. Okounkov. A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 62-68. http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a5/