R. Novikov

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20042025

most citedAbsence of exponentially localized solitons for the Novikov-Veselov equation at positive energy

24 citations · 67 across the 10 of their papers we have counts for

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math.FA2025

On discrete X-ray transform

Roman Novikov, Basant Lal Sharma

We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensi…

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…