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arXiv · 1303.0149

Asymptotics for the Radon transform on hyperbolic spaces

Nils Byrial Andersen·Mogens Flensted--Jensen
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Abstract

Let G/H be a hyperbolic space over R C or H, and let K be a maximal compact subgroup of G. Let D denote a certain explicit invariant differential operator, such that the non-cuspidal discrete series belong to the kernel of D. For any L^2-Schwartz function f on G/H, we prove that the Abel transform A(Df) of Df is a Schwartz function. This is an extension of a result established in [2] for K-finite and K\cap H-invariant functions.

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BibTeXRIS

Nils Byrial Andersen, Mogens Flensted--Jensen. 2013-03-01. Asymptotics for the Radon transform on hyperbolic spaces. https://arxiv.org/abs/1303.0149

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