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math.FA2020
X-ray tomography of one-forms with partial data
Joonas Ilmavirta, Keijo Mönkkönen
If the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain…
math.FA2019★ 15 cited
Unique continuation of the normal operator of the X-ray transform and applications in geophysics
Joonas Ilmavirta, Keijo Mönkkönen
We show that the normal operator of the X-ray transform in , , has a unique continuation property in the class of compactly supported distributions. This imm…