A. Katsevich

activity

20162021

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CA2019

Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach

Marco Bertola, Elliot Blackstone, Alexander Katsevich +1

In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms $H_{L} : L^{2} ([b_{L}, 0]) \to L^{2} ([0, b_{R}])$ and $\mathcal…

math.NA2019

Resolution analysis of inverting the generalized Radon transform from discrete data in $R^{3}$

Alexander Katsevich

A number of practically important imaging problems involve inverting the generalized Radon transform (GRT) $R$ of a function $f$ in $R^{3}$ . On the other hand, not m…

Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach

Resolution analysis of inverting the generalized Radon transform from discrete data in R3

Resolution analysis of inverting the generalized Radon transform from discrete data in $R^{3}$