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

Abstract

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.

16 pages

References in corpus (1)

• A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators

Cited by in corpus (1)

• On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators