Abstract
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.
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Okounkov, A.Y. A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials. Functional Analysis and Its Applications 36, 134–139 (2002). https://doi.org/10.1023/A:1015670523770
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DOI: https://doi.org/10.1023/A:1015670523770