Vyacheslav P. Spiridonov, S. Ole Warnaar
Published 2004-11-02Version 1
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.
Comments: 36 pages
Journal: Adv. Math. 207 (2006), 91-132.
Complex and rational hypergeometric functions on root systems
Inverse-Closedness of a Banach Algebra of Integral Operators on the Heisenberg Group
An interpolation theorem related to the a.e. convergence of integral operators
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