Add to ORKGAbstract. We show that the Radon transform related to closed geodesics is injective on a Lie group if and only if the connected components are not homeomorphic to S1 nor to S3. This is true for both smooth functions and distributions. The key ingredients of the proof are finding totally geodesic tori and realizing the Radon transform as a family of symmetric operators indexed by nontrivial homomorphisms from S1. 1
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
In this paper, we consider holomorphic functions on the m-dimensional Lie ball LB(0,1) which admit a...
A general framework to deal with problems of integral geometry is provided by the recently developed...
We show that the Radon transform related to closed geodesics is injective on a Lie group if and onl...
Abstract. If G is a finite group, is a function f: G → C de-termined by its sums over all cosets of ...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
In this thesis we introduce a class of Radon transforms for reductive symmetric spaces, including th...
First published in the Bulletin of the American Mathematical Society in Vol.71, 1965, published by t...
Abstract. Inversion formulas are given for the X-ray transform on all Riemannian symmetric spaces of...
AbstractThe Radon transform on a group A is a linear operator on the space of functions f A → C. It ...
We consider rotation invariant windowed Radon transforms that integrate a func-tion over hyperplanes...
International audienceWe consider rotation invariant windowed Radon transforms that integrate a func...
We consider weighted Radon transforms $R_W$ along hyperplanes in $R^3$ with strictly positive weight...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
In this paper, we consider holomorphic functions on the m-dimensional Lie ball LB(0,1) which admit a...
A general framework to deal with problems of integral geometry is provided by the recently developed...
We show that the Radon transform related to closed geodesics is injective on a Lie group if and onl...
Abstract. If G is a finite group, is a function f: G → C de-termined by its sums over all cosets of ...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
In this thesis we introduce a class of Radon transforms for reductive symmetric spaces, including th...
First published in the Bulletin of the American Mathematical Society in Vol.71, 1965, published by t...
Abstract. Inversion formulas are given for the X-ray transform on all Riemannian symmetric spaces of...
AbstractThe Radon transform on a group A is a linear operator on the space of functions f A → C. It ...
We consider rotation invariant windowed Radon transforms that integrate a func-tion over hyperplanes...
International audienceWe consider rotation invariant windowed Radon transforms that integrate a func...
We consider weighted Radon transforms $R_W$ along hyperplanes in $R^3$ with strictly positive weight...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
In this paper, we consider holomorphic functions on the m-dimensional Lie ball LB(0,1) which admit a...
A general framework to deal with problems of integral geometry is provided by the recently developed...