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

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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.FA2016

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

Fedor Goncharov, Roman Novikov

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 w…