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Article Dans Une Revue Moscow Mathematical Journal Année : 2014

Weighted Radon transforms and first order differential systems on the plane

Résumé

We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series in angle variable. By means of additive Riemann-Hilbert problem techniques, we reduce inversion of these transforms to solving first order differential systems on $\R^2=\C$ with a decay condition at infinity. As a corollary, we obtain new injectivity and inversion results for weighted Radon transforms on the plane.
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Dates et versions

hal-00714524 , version 1 (04-07-2012)

Identifiants

  • HAL Id : hal-00714524 , version 1

Citer

Roman Novikov. Weighted Radon transforms and first order differential systems on the plane. Moscow Mathematical Journal, 2014, 14 (4), pp.807-823. ⟨hal-00714524⟩
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