Browsing by Author "Zhou, Hanming"

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  • Injectivity and Stability for a Generic Class of Generalized Radon Transforms 

    Homan, Andrew; Zhou, Hanming (SpringerJournal of Geometric Analysis, 2016-06-30)
    Let (M, g) be an analytic, compact, Riemannian manifold with boundary, of dimension n≥2. We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in M, satisfying the Bolker ...

  • Invariant Distributions and Tensor Tomography for Gaussian Thermostats 

    Assylbekov, Yernat M; Zhou, Hanming (International PressCommunications in Analysis and Geometry, 2016)
    In this paper we consider the Gaussian thermostat ray transforms on both closed Riemannian surfaces and compact Riemannian surfaces with boundary. We establish certain results on the injectivity of the thermostat ray ...


    Paternain, Gabriel Pedro; Zhou, Hanming (Mathematical Science PublishersAnalysis & PDE, 2016-12-11)
    We 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 ...