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The Radon Transform on Two-Point Homogeneous Spaces

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The Radon Transform

Part of the book series: Progress in Mathematics ((PM,volume 5))

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Abstract

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

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© 1999 Sigurdur Helgason

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Helgason, S. (1999). The Radon Transform on Two-Point Homogeneous Spaces. In: The Radon Transform. Progress in Mathematics, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1463-0_3

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  • DOI: https://doi.org/10.1007/978-1-4757-1463-0_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1465-4

  • Online ISBN: 978-1-4757-1463-0

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