Support Theorems for Radon Transforms on Higher Rank Symmetric Spaces

Fulton B. Gonzalez, Eric Todd Quinto

Type: Article

Publication Date: 1994-12-01

Citations: 0

DOI: https://doi.org/10.2307/2161172

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works Cited by This (14)

Action	Title	Year	Authors
+	Groups and Geometric Analysis	2000	Sigurđur Helgason
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Introduction to Pseudodifferential and Fourier Integral Operators	1980	François Trèves
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander
+	A support theorem for the X-ray transform	1992	Josip Globevnik
+	Averages over hypersurfaces smoothness of generalized Radon transforms	1990	Christopher D. Sogge E. M. Stein
+	A duality for symmetric spaces with applications to group representations	1970	Sigurđur Helgason
+	Geometric Asymptotics	1977	Victor Guillemin S. Sternberg
+	The Surjectivity of Invariant Differential Operators on Symmetric Spaces I	1973	Sigurđur Helgason