caa a22 4500 60552193X CHVBK 20210128100742.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2256-1 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2256-1 Polyakova A. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia aut Reconstruction of a Vector Field in a Ball from its Normal Radon Transform [Elektronische Daten] [A. Polyakova] We study a vector tomography problem of reconstructing potential components of a three-dimensional vector field from its normal Radon transform. The method of singular value decomposition is used. For the subspace of potential fields with potentials vanishing on the boundary, we construct an orthogonal basis and compute its image under the normal Radon transform. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 418-439 1072-3374 205:3<418 2015 205 10958 https://doi.org/10.1007/s10958-015-2256-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2256-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Polyakova A. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 418-439 1072-3374 205:3<418 2015 205 10958