Author/Authors :
Goncharov, F.O. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russian Federation , Novikov, R. G. Institute of Earthquake Prediction Theory and Mathematical Geophysics (RAS), Moscow, Russia
Abstract :
In this work we study weighted Radon transforms in multidimensions. We in-
troduce 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.
