Inversions of integral operators and elliptic beta integrals on root systems

• Autores: Vyacheslav P. Spiridonov, S. Ole Warnaar
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 207, Nº 1, 2006, págs. 91-132
• Idioma: inglés
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• Resumen

  • 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.