Calogero-Sutherland hyperbolic system and Heckman-Opdam ${\mathfrak{gl}}_n$ hypergeometric function

N. Belousov, L. Cherepanov, S. Derkachov +1

We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero-Sutherland system. For this we study two families of Baxter operators related to…