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Fritz John pp 102-104 | Cite as

Commentary on: [2], [4], and [8]

  • Sigurdur Helgason
Chapter
Part of the Contemporary Mathematicians book series (CM)

Abstract

In his search for surfaces all of whose geodesies are closed and have the same length, Funk proved (1916) that an even function on the sphere S 2 is determined by its integral over the great circles. Shortly afterwards (1917), Radon showed that a function f on R n is determined by its hyperplane integrals. The transformation ff which to f associates its hyperplane integrals circumplexf(ξ) = ∫ξ f(x) dm(x) is now called the Radon transformation.

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Copyright information

© Springer Science+Business Media New York 1985

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  • Sigurdur Helgason

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