An analog of Chang inversion formula for weighted Radon transforms in multidimensions

Fedor Goncharov (1) , Roman Novikov (2)

1 MIPT - Moscow Institute of Physics and Technology [Moscow]
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for which this formula is exact. In addition, we indicate possible tomographical applications of inversion methods for weighted Radon transforms in 3D.

Domaines: Analyse fonctionnelle [math.FA]

Fedor Goncharov, Roman Novikov. An analog of Chang inversion formula for weighted Radon transforms in multidimensions. Eurasian Journal of Mathematical and Computer Applications, 2016, 4 (2), pp.23-32. ⟨hal-01304312v2⟩