Title

Ramanujan's Master Theorem for Riemannian symmetric spaces

Document Type

Article

Publication Date

6-1-2012

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 noncompact 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. © 2012 Elsevier Inc..

Publication Source (Journal or Book title)

Journal of Functional Analysis

First Page

4851

Last Page

4890

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