Inversions of integral operators and elliptic beta integrals on root systems
Classical Analysis and ODEs
2008-05-21 v1
Abstract
We prove a novel type of inversion formula for elliptic hypergeometric integrals associated to a pair of root systems. Using the (A,C) inversion formula to invert one of the known C-type elliptic beta integrals, we obtain a new elliptic beta integral for the root system of type A. Validity of this integral is established by a different method as well.
Cite
@article{arxiv.math/0411044,
title = {Inversions of integral operators and elliptic beta integrals on root systems},
author = {Vyacheslav P. Spiridonov and S. Ole Warnaar},
journal= {arXiv preprint arXiv:math/0411044},
year = {2008}
}
Comments
36 pages