Geodesic
Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 436-446

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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, longitudinal ray transform, harmonic polynomials.
Mots-clés : inversion formula, transverse ray transform, Radon transform 
@article{SEMR_2015_12_a85,
     author = {I. E. Svetov},
     title = {Inversion formulas for recovering the harmonic {2D-vector} field by known ray transforms},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {436--446},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a85/}
}
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I. E. Svetov. Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 436-446. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a85/