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

By G. Felder and A.P. Veselov

Abstract

This article was published in the serial, \ud Glasgow Mathematical Journal [Cambridge University Press / © Glasgow Mathematical Journal Trust]. The definitive version is available at: http://dx.doi.org/10.1017/S0017089508004783A 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

Publisher: Cambridge University Press / © Glasgow Mathematical Journal Trust
Year: 2009
DOI identifier: 10.1017/S0017089508004783
OAI identifier: oai:dspace.lboro.ac.uk:2134/16204
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