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arXiv · math/0411044

Inversions of integral operators and elliptic beta integrals on root systems

Vyacheslav P. Spiridonov·S. Ole Warnaar
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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.

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Vyacheslav P. Spiridonov, S. Ole Warnaar. 2004-11-02. Inversions of integral operators and elliptic beta integrals on root systems. https://arxiv.org/abs/math/0411044

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