Inversion of the ray transform of scalar and vector fields.
Main publications:
E. V. Arbuzov and A. L. Bukhgeim and S. G. Kazantsev, “Two-dimensional tomography problems and the theory of A-analytic functions”, Siberian Adv. Math., 8:4 (1998), 1–20
S. G. Kazantsev and A. A. Bukhgeim, “Singular value decomposition of the 2D fan-beam Radon transform of tensor fields”, J. Inv. Ill-Posed Problems, 12:3 (2004), 245–278
E. Yu. Derevtsov, S. G. Kazantsev, Th. Schuster, “Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions”, J. Inv. Ill-Posed Problems, 15:1 (2007), 19–55
S. G. Kazantsev and A. A. Bukhgeim, “Inversion of the Scalar and Vector Attenuated X-Ray Transforms in a Unit Disc”, J. Inv. Ill-Posed Problems, 15:7 (2007), 735–765
