This paper studies the recovery of a superposition of point sources from noisy bandlimited
data. In the fewest possible words, we only have information about the spectrum of an object …

This paper develops a mathematical theory of super‐resolution. Broadly speaking, super‐
resolution is the problem of recovering the fine details of an object—the high end of its …

We study the problem of super-resolving a superposition of point sources from noisy low-
pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate …

We consider the problem of recovering a signal consisting of a superposition of point
sources from low-resolution data with a cutoff frequency. If the distance between the sources …

We address the problem of super-resolution frequency recovery using prior knowledge of
the structure of a spectrally sparse, undersampled signal. In many applications of interest …

Consider the problem of recovering a measure μ supported on a lattice of span Δ, when
measurements are only available concerning the Fourier Transform ̂μ(ω) at frequencies …

We consider the inverse problem of recovering the locations and amplitudes of a collection
of point sources represented as a discrete measure, given M+ 1 of its noisy low-frequency …

We study sparse spikes super-resolution over the space of Radon measures on RR or TT
when the input measure is a finite sum of positive Dirac masses using the BLASSO convex …

This article provides a theoretical analysis of diffraction-limited superresolution,
demonstrating that arbitrarily close point sources can be resolved in ideal situations …

We consider the problem of stable recovery of sparse signals of the form from their spectral
measurements, known in a bandwidth with absolute error not exceeding. We consider the …