The Radon Transform on Two-Point Homogeneous Spaces

  • Sigurdur Helgason
Part of the Progress in Mathematics book series (PM, volume 5)


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


Projective Space Tangent Space Hyperbolic Space Constant Curvature Inversion Formula 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Sigurdur Helgason
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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