Inversions of integral operators and elliptic beta integrals on root systems

Details Inversions of integral operators and elliptic beta integrals on root systems Inversions of integral operators and elliptic beta integrals on root systems

2004-11-02

arxiv.org/abs/math/0411044v1

Adv. Math. 207 (2006), 91-132.

Mathematics

Classical Analysis and ODEs

36 pages

Scientific paper

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.

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