95 citations · 139 across the 24 of their papers we have counts for
25 papers
Convex bodies with algebraic section volume functions
Mark Agranovsky
The section volume function of a body evaluates the -dimensional volume of the cross-section b…
Algebraically integrable bodies and related properties of the Radon transform
Mark Agranovsky, Jan Boman, Alexander Koldobsky +2
Generalizing Lemma 28 from Newton's ``Principia", Arnold asked for a complete characterization of algebraically integrable domains. In this paper we describe the current state of A…
An analog of polynomially integrable bodies in even-dimensional spaces
Mark Agranovsky, Alexander Koldobsky, Dmitry Ryabogin +1
A bounded domain is called polynomially integrable if the -dimensional volume of the intersection with a hyperplane polynomially depends on t…
On the exactness of the universal backprojection formula for the spherical means Radon transform
Mark Agranovsky, Leonid Kunyansky
The spherical means Radon transform is defined by the integral of a function in over the sphere of radius centered at a , n…
Domains with radical-polynomial X-ray transform
Mark Agranovsky
Let be a compact convex body in For any affine line denote where is the arc length measure, the -ray transform…
Injectivity of pairs of non-central Funk transforms
Mark Agranovsky
We study Funk-type transforms on the unit sphere in R^n associated with cross-sections of the sphere by lower-dimensional planes passing through an arbitrary fixed point inside the…