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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
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.
UDC:
514.8,
517.983
MSC: 44A30 Received April 14, 2015, published
August 11, 2015
DOI:
10.17377/semi.2015.12.037
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