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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2002 Volume 36, Issue 2, Pages 62–68 (Mi faa191)

This article is cited in 5 papers

A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials

A. Yu. Okounkov

University of California, Berkeley

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.

Keywords: Macdonald polynomials, Fourier pairing, binomial formula.

UDC: 519.1

Received: 25.10.2001

DOI: 10.4213/faa191


 English version:
Functional Analysis and Its Applications, 2002, 36:2, 134–139

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