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- W2056560968 abstract "We will prove local support theorems for the Radon transform that integrates over spheres with center on a real-analytic hypersurface S in a connected real-analytic Riemannian manifold M. Our theorems are valid for a broad class of distributions with initial support restrictions depending on S and the injectivity radius of M. The proofs involve the microlocal analysis of the sphere transform and a microlocal Holmgren theorem of Kawai, Kashiwara, and Hormander. This transform has been well studied in R, but less is known for spherical transforms on manifolds. For y ∈ M, we define the sphere and disks centered at y ∈ M and of radius r > 0 as follows:" @default.
- W2056560968 created "2016-06-24" @default.
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- W2056560968 date "2006-01-01" @default.
- W2056560968 modified "2023-09-27" @default.
- W2056560968 title "Support theorems for the spherical Radon transform on manifolds" @default.
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- W2056560968 doi "https://doi.org/10.1155/imrn/2006/67205" @default.
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