Support theorems for totally geodesic Radon transforms on constant curvature spaces

Kurusa, Árpád

doi:10.1090/S0002-9939-1994-1198457-1

Support theorems for totally geodesic Radon transforms on constant curvature spaces
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Proc. Amer. Math. Soc. 122 (1994), 429-435 Request permission

Abstract:

We prove a relation between the k-dimensional totally geodesic Radon transforms on the various constant curvature spaces using the geodesic correspondence between the spaces. Then we use this relation to obtain improved support theorems for these transforms.

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