The Radon Transform on Two-Point Homogeneous Spaces

Chapter

Abstract

Let X be a complete Riemannian manifold, x a point in X and X x the tangent space to X at x. Let Exp x denote the mapping of X x into X given by Exp x (u) = g u (1), where t → g u (t) is the geodesic in X through x with tangent vector u at x = g u (0).

Keywords

Manifold Eter Convolution Radon 

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Copyright information

© Sigurdur Helgason 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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