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arXiv · 1103.5126

Ramanujan's Master Theorem for Riemannian symmetric spaces

Gestur Olafsson·Angela Pasquale
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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.

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BibTeXRIS

Gestur Olafsson, Angela Pasquale. 2012-03-12. Ramanujan's Master Theorem for Riemannian symmetric spaces. https://arxiv.org/abs/1103.5126

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