Add to ORKGInternational audienceWe consider weighted Radon transforms on the plane, where weights are given as finite Fourier series in angle variable. By means of additive Riemann-Hilbert problem techniques, we reduce inversion of these transforms to solving first order differential systems on $\R^2=\C$ with a decay condition at infinity. As a corollary, we obtain new injectivity and inversion results for weighted Radon transforms on the plane
Let Mn, m be the space of real n × m matrices which can be identified with the Euclidean space Rn m....
AbstractThe k-dimensional totally geodesic Radon transform on the unit sphere Sn and the correspondi...
In this work we extend the finite dimensional Radon transform [23] to the Gaussian measure. We devel...
We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series...
International audienceWe consider weighted Radon transforms on the plane. We show that the Chang app...
International audienceWe describe all weighted Radon transforms on the plane for which the Chang app...
International audienceIn this work we study weighted Radon transforms in multidimensions. We introdu...
This thesis is devoted to studies of inverse problems for weighted Radon tranforms in euclidean spac...
Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formu...
We propose iterative inversion algorithms for weighted Radon transforms $R_W$ along hyperplanes in $...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Gaussian measure is constructed for any given hyperplane in an infinite dimensional Hilbert space, a...
AbstractThe inversion formulae fork-plane transforms of functionsf∈Lp(Rn) are obtained in terms of c...
The problem in this article is to recover a function on $opr^n$ from its integrals known only on hyp...
AbstractA new method is given for analytical inversion of the Radon transform given limited angle da...
Let Mn, m be the space of real n × m matrices which can be identified with the Euclidean space Rn m....
AbstractThe k-dimensional totally geodesic Radon transform on the unit sphere Sn and the correspondi...
In this work we extend the finite dimensional Radon transform [23] to the Gaussian measure. We devel...
We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series...
International audienceWe consider weighted Radon transforms on the plane. We show that the Chang app...
International audienceWe describe all weighted Radon transforms on the plane for which the Chang app...
International audienceIn this work we study weighted Radon transforms in multidimensions. We introdu...
This thesis is devoted to studies of inverse problems for weighted Radon tranforms in euclidean spac...
Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formu...
We propose iterative inversion algorithms for weighted Radon transforms $R_W$ along hyperplanes in $...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Gaussian measure is constructed for any given hyperplane in an infinite dimensional Hilbert space, a...
AbstractThe inversion formulae fork-plane transforms of functionsf∈Lp(Rn) are obtained in terms of c...
The problem in this article is to recover a function on $opr^n$ from its integrals known only on hyp...
AbstractA new method is given for analytical inversion of the Radon transform given limited angle da...
Let Mn, m be the space of real n × m matrices which can be identified with the Euclidean space Rn m....
AbstractThe k-dimensional totally geodesic Radon transform on the unit sphere Sn and the correspondi...
In this work we extend the finite dimensional Radon transform [23] to the Gaussian measure. We devel...