Ruijsenaars¿ hypergeometric function and the modular double of

• Autores: Fokko J. van de Bult
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 204, Nº 2, 2006, págs. 539-571
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Simultaneous eigenfunctions of two Askey¿Wilson second-order difference operators are constructed as formal matrix coefficients of the principal series representation of the modular double of the quantized universal enveloping algebra . These eigenfunctions are shown to be equal to Ruijsenaars¿ hypergeometric function under a proper parameter correspondence.