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INVARIANT DISTRIBUTIONS AND THE GEODESIC RAY TRANSFORM

dc.creatorPaternain, Gabriel Pedro
dc.creatorZhou, Hanming
dc.date.accessioned2016-09-13
dc.date.accessioned2018-11-24T23:26:57Z
dc.date.available2016-11-07T14:14:40Z
dc.date.available2018-11-24T23:26:57Z
dc.date.issued2016-12-11
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/261055
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3921
dc.description.abstractWe establish an equivalence principle between the solenoidal injectivity of the geodesic ray transform acting on symmetric $\textit{m}$-tensors and the existence of invariant distributions or smooth first integrals with prescribed projection over the set of solenoidal $\textit{m}$-tensors. We work with compact simple manifolds, but several of our results apply to non-trapping manifolds with strictly convex boundary.
dc.languageen
dc.publisherMathematical Science Publishers
dc.publisherAnalysis & PDE
dc.titleINVARIANT DISTRIBUTIONS AND THE GEODESIC RAY TRANSFORM
dc.typeArticle


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