M. Agranovsky

activity

19992024

most citedUniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography

95 citations · 139 across the 24 of their papers we have counts for

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5 papers · 1 filter

math.MG2024

Convex bodies with algebraic section volume functions

Mark Agranovsky

The section volume function $A_{K} (ξ, t), ξ \in R^{n}, t \in R,$ of a body $K \subset R^{n}$ evaluates the $(n - 1)$ -dimensional volume of the cross-section $K$ b…

math.MG2022

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…

math.MG2021

Domains with radical-polynomial X-ray transform

Mark Agranovsky

Let $K$ be a compact convex body in $R^{n} .$ For any affine line $L,$ denote $χ_{K} (L) = \int_{L} χ_{K} (x) d l (x),$ where $d l$ is the arc length measure, the $X$ -ray transform…

math.MG2019★ 5 cited

Locally polynomially integrable surfaces and finite stationary phase expansions

Mark Agranovsky

Let $M$ be a strictly convex smooth connected hypersurface in $R^{n}$ and $M$ its convex hull. We say that $M$ is locally polynomially integrable if the $(n - 1) -$ di…

math.MG2017★ 1 cited

On algebraically integrable domains in Euclidean spaces

Mark Agranovsky

Let $D$ be a bounded domain $D$ in $R^{n}$ with infinitely smooth boundary and $n$ is odd. We prove that if the volume cut off from the domain by a hyperplane is an algebrai…