SUPPORT THEOREMS FOR CERTAIN RAY TRANSFORMS

Abhishek, Anuj.

2018

Description
  • Abstract: The main object of study in this thesis are integral transforms over simple, real analytic, Riemannian manifolds. Let (M, g) be a simple, real analytic, Riemannian manifold with boundary and of dimension n >=3. The first result that we present here establishes a support theorem for the transverse ray transform of tensor fields of rank 2 defined over such manifolds. More specifically, ... read more
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