Ramanujans master theorem for Riemannian symmetric spacesReportar como inadecuado




Ramanujans master theorem for Riemannian symmetric spaces - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 Lousiana State University 2 Analyse IECL - Institut Élie Cartan de Lorraine

Abstract : Ramanujan-s Master theorem states that, under suitable conditions, the Mellin transform of a power series provides an interpolation formula for the coefficients of this series. Based on the duality of compact and non-compact reductive Riemannian symmetric spaces inside a common complexification, we prove an analogue of Ramanujan-s Master Theorem for the spherical Fourier transform of a spherical Fourier series. This extends the results proven by Bertram for Riemannian symmetric spaces of rank-one.

Keywords : Holomorphic extension Spherical Fourier series Ramanujanʼs Master Theorem Integral interpolation formulas Symmetric spaces Spherical transform





Autor: Gestur Olafsson - Angela Pasquale -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados