Inverting the attenuated vectorial Radon transform

F. Natterer 1
  • 1 Institut für Numerische und Angewandte Mathematik, Westf. Wilhelms-Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany. E-mail: nattere@math.uni-muenster.de

We give a new derivation of the inversion formula of Bukhgeim and Kazantsev for the attenuated vectorial Radon transform. We also study what happens if the attenuation tends to zero.

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This journal presents original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published.

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