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Baker-Akhiezer function as iterated residue and Selberg-type integral
journal contribution
posted on 2014-11-10, 14:14 authored by G. Felder, Alexander VeselovAlexander VeselovA 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.
Funding
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).
History
School
- Science
Department
- Mathematical Sciences
Published in
GLASGOW MATHEMATICAL JOURNALVolume
51APages
59 - 73 (15)Citation
FELDER, G. and VESELOV, A.P., 2009. Baker-Akhiezer function as iterated residue and Selberg-type integral . Glasgow Mathematical Journal, 51 (A), pp. 59 - 73.Publisher
Cambridge University Press / © Glasgow Mathematical Journal TrustVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2009Notes
This article was published in the serial, Glasgow Mathematical Journal [Cambridge University Press / © Glasgow Mathematical Journal Trust]. The definitive version is available at: http://dx.doi.org/10.1017/S0017089508004783ISSN
0017-0895Publisher version
Language
- en
