The Geodesic Ray Transform on Riemannian Surfaces with Conjugate Points
نویسندگان
چکیده
منابع مشابه
On the Microlocal Analysis of the Geodesic X-ray Transform with Conjugate Points
We study the microlocal properties of the geodesic X-ray transform X on a manifold with boundary allowing the presence of conjugate points. Assuming that there are no self-intersecting geodesics and all conjugate pairs are nonsingular we show that the normal operator N = X t ◦X can be decomposed as the sum of a pseudodifferential operator of order −1 and a sum of Fourier integral operators. We ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2015
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-015-2328-6