A reproducing kernel for nonsymmetric Macdonald polynomials

Details A reproducing kernel for nonsymmetric Macdonald polynomials A reproducing kernel for nonsymmetric Macdonald polynomials

1996-10-11

arxiv.org/abs/q-alg/9610014v1

Mathematics

Quantum Algebra

19 pages, AMS-TeX Ver.2.1, no figures

Scientific paper

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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