F. Goncharov

activity

20162024

most citedAn iterative inversion of weighted Radon transforms along hyperplanes

8 citations · 16 across the 6 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.FA2017

A breakdown of injectivity for weighted ray transforms in multidimensions

Fedor Goncharov, Roman Novikov

We consider weighted ray-transforms $P_W$ (weighted Radon transforms along straight lines) in $R^{d}, d \geq 2,$ with strictly positive weights $W$ . We construct an examp…

math.FA2017★ 7 cited

An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions

F Goncharov, R Novikov

We consider the weighted Radon transforms $R_{W}$ along hyperplanes in $R^{d}, d \geq 3$ , with strictly positive weights $W = W (x, θ), x \in R^{d}, θ \in S^{d - 1}$ . We construct…

math-ph2017

An example of non-uniqueness for Radon transforms with continuous positive rotation invariant weights

Fedor Goncharov, Roman Novikov

We consider weighted Radon transforms $R_{W}$ along hyperplanes in $R^{3}$ with strictly positive weights $W$ . We construct an example of such a transform with non-trivial kernel $\mat…