A new proof of the support theorem and the range characterization for the Radon transform |
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Authors: | Bernd Droste |
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Institution: | 1. Fachbereich Mathematik Universit?t Mainz, Saarstrasse 21, D-6500, Mainz
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Abstract: | The aim of this note is to give a new and elementary proof of the support theorem for the Radon transform, which is based only on the projection theorem and the Paley-Wiener theorem for the Fourier transform. The idea is to solve a certain system of linear equations in order to determine the coefficients of a homogeneous polynomial (interpolation problem). By the same method, we get a short proof of the range characterization for Radon transforms of functions supported in a ball. |
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