Support theorems for Radon transforms on higher rank symmetric spaces

Gonzalez, Fulton; Quinto, Eric Todd

doi:10.1090/S0002-9939-1994-1205492-3

Support theorems for Radon transforms on higher rank symmetric spaces
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by Fulton Gonzalez and Eric Todd Quinto PDF

Proc. Amer. Math. Soc. 122 (1994), 1045-1052 Request permission

Abstract:

We prove support theorems for Radon transforms with real-analytic measures on horocycles in higher rank symmetric spaces. The microlocal analysis is more difficult than for rank one, but we prove a generalization of Helgason’s support theorem and a theorem that is new even in the classical case.

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