Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions

Understand

We establish orthogonality relations for the Baker-Akhiezer (BA) eigenfunctions of the Macdonald difference operators.

• We also obtain a version of Cherednik-Macdonald-Mehta integral for these functions.
• As a corollary, we give a simple derivation of the norm identity and Cherednik-Macdonald-Mehta integral for Macdonald polynomials.
• In the appendix written by the first author, we prove a summation formula for BA functions.