The Radon transform that integrates a function in ${open H}^n$, the $n$-dimensional hyperbolic space, over totally geodesic submanifolds with codimension 1 and the dual Radon transform are investigated in this paper. We prove inversion formulas and an inclusion theorem for the range
Injectivity and support theorem are proved for the Radon transform on abstract rotational manifolds ...
A correspondence among the totally geodesic Radon transforms---as well as among their duals---on the...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
In the hyperbolic disc (or more generally in real hyperbolic spaces) we consider the horospherical R...
Consider the Poincare unit disk model for the hyperbolic plane H-2. Let Xi be the set of all horocyc...
Let Γ n k be the space of all the k-dimensional totally geodesic submanifolds of the n-dimensional r...
Consider the Poincare unit disk model for the hyperbolic plane H 2. Let ξ be the set of all horocycl...
Consider the Poincare unit disk model for the hyperbolic plane H 2. Let ξ be the set of all horocycl...
We obtain new descriptions of the null spaces of several projectively equivalent transforms in integ...
We derive explicit inversion formulae for the attenuated geodesic and horocyclic ray transforms of f...
AbstractThe classical Radon transform, R, maps an integrable function in Rn to its integrals over al...
We prove a relation between the $k$-dimensional totally geodesic Radon transforms on the various con...
The problem in this article is to recover a function on $opr^n$ from its integrals known only on hyp...
AbstractLet R be the classical Radon transform that integrates a function over hyperplanes in Rn and...
AbstractThe k-dimensional totally geodesic Radon transform on the unit sphere Sn and the correspondi...
Injectivity and support theorem are proved for the Radon transform on abstract rotational manifolds ...
A correspondence among the totally geodesic Radon transforms---as well as among their duals---on the...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
In the hyperbolic disc (or more generally in real hyperbolic spaces) we consider the horospherical R...
Consider the Poincare unit disk model for the hyperbolic plane H-2. Let Xi be the set of all horocyc...
Let Γ n k be the space of all the k-dimensional totally geodesic submanifolds of the n-dimensional r...
Consider the Poincare unit disk model for the hyperbolic plane H 2. Let ξ be the set of all horocycl...
Consider the Poincare unit disk model for the hyperbolic plane H 2. Let ξ be the set of all horocycl...
We obtain new descriptions of the null spaces of several projectively equivalent transforms in integ...
We derive explicit inversion formulae for the attenuated geodesic and horocyclic ray transforms of f...
AbstractThe classical Radon transform, R, maps an integrable function in Rn to its integrals over al...
We prove a relation between the $k$-dimensional totally geodesic Radon transforms on the various con...
The problem in this article is to recover a function on $opr^n$ from its integrals known only on hyp...
AbstractLet R be the classical Radon transform that integrates a function over hyperplanes in Rn and...
AbstractThe k-dimensional totally geodesic Radon transform on the unit sphere Sn and the correspondi...
Injectivity and support theorem are proved for the Radon transform on abstract rotational manifolds ...
A correspondence among the totally geodesic Radon transforms---as well as among their duals---on the...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
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