Baker-Akhiezer function as iterated residue and Selberg-type integral
journal contributionposted on 10.11.2014, 14:14 by G. Felder, Alexander VeselovAlexander 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.
This work has been partially supported by the European Union through the FP6 Marie Curie RTN ENIGMA (Contract numberMRTN-CT-2004-5652) and ESF programme MISGAM and by the EPSRC (grant EP/E004008/1).
- Mathematical Sciences