Showing 2020Show all
2 papers · 1 filter
math.FA2020
On the spectral properties of the Hilbert transform operator on multi-intervals
Marco Bertola, Alexander Katsevich, Alexander Tovbis
Let be two multi-intervals with non-intersecting interiors. Consider the following operator $$A:\, L^2( J )\to L^2(E),\ (Af)(x) = \frac 1π\int_{ J } \frac {f(…
math.NA2020
Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions
Alexander Katsevich
Let , , be a piecewise smooth function with a jump discontinuity across a smooth surface . Let denote the Lambda tomography (LT) reconst…