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.

arXiv comment16 pages

References in corpus (2)

• A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators
• Construction of eigenfunctions for the elliptic Ruijsenaars difference operators

Cited by in corpus (2)

• Bispectrality of $A{G}_2$ Calogero-Moser-Sutherland system
• On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators