Real Analytic Radon Transforms on Rank One Symmetric Spaces

Eric Todd Quinto

Type: Article

Publication Date: 1993-01-01

Citations: 5

DOI: https://doi.org/10.2307/2159714

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Support theorems for Radon transforms on higher rank symmetric spaces	1994	Fulton B. Gonzalez Eric Todd Quinto
+	An inversion formula for the dual horocyclic Radon transform on the hyperbolic plane	2005	Alexander Katsevich

Works Cited by This (15)

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
+	The invertibility of rotation invariant Radon transforms	1983	Eric Todd Quinto
+	A support theorem for the X-ray transform	1992	Josip Globevnik
+	A duality for symmetric spaces with applications to group representations	1970	Sigurđur Helgason
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason
+	An example of non-uniqueness for a generalized Radon transform	1993	Jan Boman
+	Geometric Asymptotics	1977	Victor Guillemin S. Sternberg
+	The Surjectivity of Invariant Differential Operators on Symmetric Spaces I	1973	Sigurđur Helgason