Difference Macdonald-Mehta Conjecture

1997/02/17 by Ivan Cherednik, Cherednik, Ivan · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Mathematical Analysis and Transform Methods #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9702022

openalex publication_date 1997/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper we formulate and verify a difference counterpart of the Macdonald-Mehta conjecture and its generalization for the Macdonald polynomials. Namely, we determine the Fourier transforms of the polynomials multiplied by the Gaussian, which is closely connected with the new difference Harish-Chandra theory.

Cited by

• Ext operators for wreath Macdonald polynomials

Related

• Kadell's two conjectures for Macdonald polynomials
• On Cherednik-Macdonald-Mehta identities
• A₂ Macdonald polynomials: a separation of variables
• q-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients
• Symmetric and non-symmetric Macdonald polynomials