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The Radon Transform on Rn

  • Sigurdur HelgasonEmail author
Chapter
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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 Radon Transform Bibliographical Note 
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 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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