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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 436–446
DOI: https://doi.org/10.17377/semi.2015.12.037 (Mi semr600) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Real, complex and functional analysis

Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms

I. E. Svetovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, st. Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.037
Abstract: We obtained the inversion formulas for recovering the harmonic 2D-vector field given in unit disk by known ray transforms.
Keywords: vector field, solenoidal field, potential field, harmonic field, inversion formula, longitudinal ray transform, transverse ray transform, Radon transform, harmonic polynomials.
Received April 14, 2015, published August 11, 2015
Document Type: Article
UDC: 514.8, 517.983
MSC: 44A30
Language: Russian
Citation: I. E. Svetov, “Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms”, Sib. Èlektron. Mat. Izv., 12 (2015), 436–446
Citation in format AMSBIB
\Bibitem{Sve15}
\by I.~E.~Svetov
\paper Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 436--446
\mathnet{http://mi.mathnet.ru/semr600}
\crossref{https://doi.org/10.17377/semi.2015.12.037}
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