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The Radon Transform on Rn

In: Integral Geometry and Radon Transforms

Author

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  • Sigurdur Helgason

    (Massachusetts Institute of Technology, Department of Mathematics)

Abstract

It was proved by J. Radon in 1917 that a differentiable function on R 3 can be determined explicitly by means of its integrals over the planes in R 3. Let J(ω, p) denote the integral of f over the hyperplane 〈x, ω〉 = p, ω denoting a unit vector and 〈,〉 the inner product.

Suggested Citation

  • Sigurdur Helgason, 2010. "The Radon Transform on Rn," Springer Books, in: Integral Geometry and Radon Transforms, chapter 0, pages 1-62, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-6055-9_1
    DOI: 10.1007/978-1-4419-6055-9_1
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