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The Radon Transform on Two-Point Homogeneous Spaces

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

Abstract

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).

Keywords

Projective Space Tangent Space Hyperbolic Space Constant Curvature Inversion Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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