45 citations · 238 across the 51 of their papers we have counts for
5 papers · 1 filter
On Radon transforms on finite groups
Joonas Ilmavirta
If is a finite group, is a function determined by its sums over all cosets of cyclic subgroups of ? In other words, is the Radon transform on injective…
On Radon transforms on compact Lie groups
Joonas Ilmavirta
We show that the Radon transform related to closed geodesics is injective on a Lie group if and only if the connected components are not homeomorphic to nor to . This is…
On the broken ray transform
Joonas Ilmavirta
This PhD thesis studies the broken ray transform, a generalization of the geodesic X-ray transform where geodesics are replaced with broken rays that reflect on a part of the bound…
Broken ray transform on a Riemann surface with a convex obstacle
Joonas Ilmavirta, Mikko Salo
We consider the broken ray transform on Riemann surfaces in the presence of an obstacle, following earlier work of Mukhometov. If the surface has nonpositive curvature and the obst…
On Radon transforms on tori
Joonas Ilmavirta
We show injectivity of the X-ray transform and the -plane Radon transform for distributions on the -torus, lowering the regularity assumption in the recent work by Abouelaz a…