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Microlocal analysis of the X-ray transform with sources on a curve. (English) Zbl 1086.35134

Uhlmann, Gunther (ed.), Inside out: Inverse problems and applications. Cambridge: Cambridge University Press (ISBN 0-521-82469-9/hbk). Math. Sci. Res. Inst. Publ. 47, 193-218 (2003).
Summary: We survey several settings where distributions associated to paired Lagrangians appear in inverse problems. We make a closer study of a particular case: the microlocal analysis of the X-ray transform with sources on a curve.
For the entire collection see [Zbl 1034.78003].

MSC:

35R30 Inverse problems for PDEs
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
44A12 Radon transform