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A reproducing kernel for nonsymmetric Macdonald polynomials

K. Mimachi·M. Noumi
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Abstract

We present a new formula of Cauchy type for the nonsymmetric Macdonald polynomials which are joint eigenfunctions of q-Dunkl operators. This gives the explicit formula for a reproducing kernel on the polynomial ring of n variables.

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BibTeXRIS

K. Mimachi, M. Noumi. 1996-10-11. A reproducing kernel for nonsymmetric Macdonald polynomials. https://arxiv.org/abs/q-alg/9610014

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