Spherical and Whittaker functions via DAHA II

Selecta Mathematica - Tập 19 - Trang 819-864 - 2013
Ivan Cherednik1, Xiaoguang Ma2
1Department of Mathematics, UNC Chapel Hill, Chapel Hill, USA
2632 CAB, University of Alberta, Edmonton, Canada

Tóm tắt

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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