Ramanujan's Master Theorem for Riemannian symmetric spaces
Representation Theory
2012-03-14 v3 Functional Analysis
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 Riemannian symmetric spaces of compact and noncompact type inside a common complexification, we prove an analogue of Ramanujan's Master Theorem for the spherical Fourier transform of a spherical Fourier series. This extend the results proven by Bertram for Riemannian symmetric spaces of rank-one.
Keywords
Cite
@article{arxiv.1103.5126,
title = {Ramanujan's Master Theorem for Riemannian symmetric spaces},
author = {Gestur Olafsson and Angela Pasquale},
journal= {arXiv preprint arXiv:1103.5126},
year = {2012}
}
Comments
As accepted by JFA