Wave function for $GL(n,mathbb{R})$ hyperbolic Sutherland model II. Dual Hamiltonians

Recently we found Mellin-Barnes integrals, representing the wave function for $GL(n,mathbb{R})$ hyperbolic Sutherland model. In present paper, we establish bispectral properties of this wave function with respect to dual Ruijesenaars-Macdonald operators.