Intermediate inversion formulas in integral geometry.
Invariant differential operators and the range of the radon D-plane transform.
Inversion formulas for the spherical Radon-Dunkl transform.
Inversion of Exponential k-Plane Transforms.
Inversion of the Weyl Integral Transform and the Radon Transform on Rn Using Generalized Wavelets.
Isospectral deformations of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
La transformation de Radon analytique en codimension 1
La transformation de Radon sur un espace symétrique
Matematika dokonale ukrytá v počítačové tomografii
On the boundedness of maximal operators and singular operators with kernels in .
On the image of a generalized -plane transform on .
On Y. Nievergelt's Inversion Formula for the Radon Transform
Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formula which allows to reconstruct a continuous compactly supported function on the 2-plane from its Radon transform. This formula falls into the scope of the classical convolution-backprojection method. We show that elementary tools of fractional calculus can be used to obtain more general inversion formulas for the k-plane Radon transform of continuous and L^p functions on R^n for all 1 ≤ k < n....
Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.
Radon-Transformation auf nilpotenten Lie-Gruppen.
Range characterization of Radon transforms on quaternionic projective spaces.
Range characterization of Radon transforms on quaternionic projective spaces.
Range of the generalized Radon transform associated with partial differential operators.
In this work we consider two partial differential operators, define a generalized Radon transform and its dual associated with these operators and characterize its range.
Range of the horocyclic Radon transform on trees
In this paper we study the Radon transform on the set of horocycles of a homogeneous tree , and describe its image on various function spaces. We show that the functions of compact support on that satisfy two explicit Radon conditions constitute the image under of functions of finite support on . We extend these results to spaces of functions with suitable decay on , whose image under satisfies corresponding decay conditions and contains distributions on that are not defined pointwise....
Range of the k-dimensional Radon transform in real hyperbolic spaces.
Reconstruction from Limited Data of Arc Means.