Baker-Akhiezer function as iterated residue and Selberg-type integral

2014-11-10T14:14:26Z (GMT) by G. Felder Alexander Veselov
A simple integral formula as an iterated residue is presented for the Baker–Akhiezer function related to An-type root system in both the rational and trigonometric cases. We present also a formula for the Baker–Akhiezer function as a Selberg-type integral and generalise it to the deformed An,1-case. These formulas can be interpreted as new cases of explicit evaluation of Selberg-type integrals.