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- W1694564488 abstract "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 condition [23]. Using analytic microlocal analysis, we prove a microlocal regularity theorem for generalized Radon transforms on analytic manifolds defined on an analytic family of hypersurfaces. We then show injectivity and stability for an open, dense subset of smooth generalized Radon transforms satisfying the Bolker condition, including the analytic ones." @default.
- W1694564488 created "2016-06-24" @default.
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- W1694564488 date "2015-01-05" @default.
- W1694564488 modified "2023-09-23" @default.
- W1694564488 title "Injectivity and stability for a generic class of generalized Radon transforms" @default.
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- W1694564488 doi "https://doi.org/10.48550/arxiv.1502.06510" @default.
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