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Spherical and Whittaker functions via DAHA II

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Abstract

This paper is focused on the spinor (nonsymmetric) Whittaker functions in the rank one, related q-Toda–Dunkl operators, and other aspects of the spinor construction, including one-dimensional Bessel functions and the isomorphism between the affine Knizhnik–Zamolodchikov equation and the Quantum many-body problem (the Heckman–Opdam system).

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Authors and Affiliations

  1. Department of Mathematics, UNC Chapel Hill, Chapel Hill, NC, 27599, USA

    Ivan Cherednik

  2. 632 CAB, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Xiaoguang Ma

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  1. Ivan Cherednik
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  2. Xiaoguang Ma
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Correspondence to Ivan Cherednik.

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Partially supported by NSF grant DMS–0800642.

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Cherednik, I., Ma, X. Spherical and Whittaker functions via DAHA II. Sel. Math. New Ser. 19, 819–864 (2013). https://doi.org/10.1007/s00029-012-0116-0

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