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The Radon Transform on ℝn

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

Abstract

It was proved by J. Radon in 1917 that a differentiable function on ℝ3 can be determined explicitly by means of its integrals over the planes in ℝ3. Let J(ω, p) denote the integral of f over the hyperplane 〈x, ω〉 = p, ω denoting a unit vector and 〈,〉 the inner product.

Keywords

Plane Wave Compact Support Inversion Formula Chapter Versus Radon Transform 
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

© Sigurdur Helgason 1999

Authors and Affiliations

  • Sigurdur Helgason
    • 1
  1. 1.Department of MathematicsMITCambridgeUSA

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