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.
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© 2010 Sigurdur Helgason
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Helgason, S. (2010). The Radon Transform on Rn. In: Integral Geometry and Radon Transforms. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6055-9_1
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DOI: https://doi.org/10.1007/978-1-4419-6055-9_1
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6054-2
Online ISBN: 978-1-4419-6055-9
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