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BAKER–AKHIEZER FUNCTION AS ITERATED RESIDUE AND SELBERG-TYPE INTEGRAL

Published online by Cambridge University Press:  01 February 2009

GIOVANNI FELDER  and
ALEXANDER P. VESELOV
GIOVANNI FELDER
Affiliation:
Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland e-mail: giovanni.felder@math.ethz.ch
ALEXANDER P. VESELOV
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK and Landau Institute for Theoretical Physics, Moscow, Russia e-mail: A.P.Veselov@lboro.ac.uk
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Abstract

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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.

Keywords

33E3081R12
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 59 - 73
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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