All Stories

  1. Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates

    Article • Inverse Problems, June 2021, Institute of Physics Publishing

    Dr. Sergey G. Kazantsev

  2. Poloidal-Toroidal Decomposition of Solenoidal Vector Fields in the Ball

    Article • Journal of Applied and Industrial Mathematics, July 2019, Pleiades Publishing Ltd

    Dr. Sergey G. Kazantsev

  3. Funk--Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere

    Article • Sibirskie Elektronnye Matematicheskie Izvestiya, July 2018, Sobolev Institute of Mathematics

    Dr. Sergey G. Kazantsev

  4. Singular value decomposition for the cone-beam transform in the ball

    Article • Journal of Inverse and Ill-Posed Problems, January 2015, De Gruyter

    Dr. Sergey G. Kazantsev

  5. Differential properties of a generalized solution to a hyperbolic system of first-order differential equations

    Article • Journal of Applied and Industrial Mathematics, July 2013, Pleiades Publishing Ltd

    Dr. Sergey G. Kazantsev

  6. Asymptotic inversion formulas in 3D vector field tomography for different geometries

    Article • Journal of Inverse and Ill-Posed Problems, January 2011, De Gruyter

    Dr. Sergey G. Kazantsev

  7. Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions

    Article • Journal of Inverse and Ill-Posed Problems, April 2007, De Gruyter

    Dr. Sergey G. Kazantsev

  8. Inversion of the scalar and vector attenuated X-ray transforms in a unit disc

    Article • Journal of Inverse and Ill-Posed Problems, January 2007, De Gruyter

    Dr. Sergey G. Kazantsev

  9. The Chebyshev ridge polynomials in 2D tensor tomography

    Article • Journal of Inverse and Ill-Posed Problems, April 2006, De Gruyter

    Dr. Sergey G. Kazantsev

  10. Singular value decomposition for the 2D fan-beam Radon transform of tensor fields

    Article • Journal of Inverse and Ill-Posed Problems, June 2004, De Gruyter

    Dr. Sergey G. Kazantsev