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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1572–1595
DOI: https://doi.org/10.33048/semi.2021.18.117 (Mi semr1461) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Real, complex and functional analysis

Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields

A. P. Polyakova

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.117
Abstract: A problem of 3D 2-tensor field potential part reconstruction by the known value of its normal Radon transform is considered. A singular value decomposition of the operator is constructed for solving the problem. Basic fields are constructed with the use of Jacobi polynomials, Gegenbauer polynomials, and spherical harmonics.
Keywords: symmetric tensor field, potential field, potential, normal Radon transform, singular value decomposition of an operator, system of orthogonal polynomials.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0011
Russian Foundation for Basic Research 19-51-12008
The research was carried out within the state assignment for Sobolev Institute of Mathematics SB RAS (project №-0314-2019-0011) and with a partial support of RFBR and DFG according to the project 19-51-12008.
Received May 17, 2021, published December 7, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.98, 519.677
MSC: 44A30
Language: English
Citation: A. P. Polyakova, “Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1572–1595
Citation in format AMSBIB
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\by A.~P.~Polyakova
\paper Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1572--1595
\mathnet{http://mi.mathnet.ru/semr1461}
\crossref{https://doi.org/10.33048/semi.2021.18.117}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000037}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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