Real analytic Radon transforms on rank one symmetric spaces

Quinto, Eric Todd

doi:10.1090/S0002-9939-1993-1135080-8

Real analytic Radon transforms on rank one symmetric spaces
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by Eric Todd Quinto

Proc. Amer. Math. Soc. 117 (1993), 179-186

DOI: https://doi.org/10.1090/S0002-9939-1993-1135080-8

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Abstract:

Using microlocal techniques, we prove support theorems for Radon transforms with real analytic measures on horocycles in rank one symmetric spaces. We generalize Helgason’s support theorem to this case and prove a new local support theorem.

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