Difference Macdonald-Mehta Conjecture

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

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.

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