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20132023
most citedAnalysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions

9 citations · 38 across the 18 of their papers we have counts for

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Showing 2014Show all

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math-ph2014

On Sobolev instability of the interior problem of tomography

Marco Bertola, Alexander Katsevich, Alexander Tovbis

In this paper we continue investigation of the interior problem of tomography that was started in \cite{BKT2}. As is known, solving the interior problem {with prior data specified…

math.SP2014★ 1 cited

Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach

Marco Bertola, Alexander Katsevich, Alex Tovbis

We study the asymptotics of singular values and singular functions of a Finite Hilbert transform (FHT), which is defined on several intervals. Transforms of this kind arise in the…