A. Katsevich

activity

20132023

most citedAnalysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions

9 citations · 38 across the 18 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.CA2013★ 3 cited

Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap

Reema Al-Aifari, Michel Defrise, Alexander Katsevich

The truncated Hilbert transform with overlap $H_{T}$ is an operator that arises in tomographic reconstruction from limited data, more precisely in the method of Differentiated Back-P…

math.NA2013★ 9 cited

Covariance Matrix Estimation for the Cryo-EM Heterogeneity Problem

Gene Katsevich, Alexander Katsevich, Amit Singer

In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The problem of single particle reconstruction (SPR)…

math.FA2013★ 1 cited

Spectral analysis of the truncated Hilbert transform with overlap

Reema Al-Aifari, Alexander Katsevich

We study a restriction of the Hilbert transform as an operator $H_{T}$ from $L^{2} (a_{2}, a_{4})$ to $L^{2} (a_{1}, a_{3})$ for real numbers $a_{1} < a_{2} < a_{3} < a_{4}$ . The operator $H_{T}$ arises in to…