795 citations · 1.3k across the 32 of their papers we have counts for
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Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
We provide sufficient density condition for a set of nonuniform samples to give rise to a set of sampling for multivariate bandlimited functions when the measurements consist of po…
Recovering piecewise smooth functions from nonuniform Fourier measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of reconstructing piecewise smooth functions to high accuracy from nonuniform samples of their Fourier transform. We use the framework of non…
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of recovering a compactly supported multivariate function from a collection of pointwise samples of its Fourier transform taken nonuniformly.…