Weighted Radon transforms along hyperplanes in three dimensions

We consider the problem of inversion of weighted Radon transforms $R_W$ along hy-
perplanes in $\mathbb{R}^3$. We give a short review of old and recent results on this problem. Possible
applications include emission tomographies. This talk is based, in particular, on the recent
works [F. Goncharov and R. Novikov, 2016, 2018] and [F. Goncharov, 2017].