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Invariant distributions and tensor tomography for Gaussian thermostats

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Article

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Authors

Assylbekov, Yernat M 

Abstract

In this paper we consider the Gaussian thermostat ray transform on both closed Riemannian surfaces and compact Riemannian surfaces with boundary. We establish certain results on the injectivity of the thermostat ray transform and the surjectivity of its adjoint.

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Keywords

math.DG, math.DG, math.AP, math.DS

Journal Title

Communications in Analysis and Geometry

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Publisher

International Press

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The work was partially supported by the National Science Foundation.