31 citations · 63 across the 9 of their papers we have counts for
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math.CA2017★ 1 cited
The Beurling-Selberg Box Minorant Problem via Linear Programming Bounds
Jacob Carruth, Noam Elkies, Felipe Gonçalves +1
In this paper we investigate a high dimensional version of Selberg's minorant problem for the indicator function of an interval. In particular, we study the corresponding problem o…
math.CA2014★ 1 cited
One-sided Band-limited Approximations of Some Radial Functions
Felipe Gonçalves, Michael Kelly, José Madrid
We construct majorants and minorants of a Gaussian function in Euclidean space that have Fourier transforms supported in a box. The majorants that we construct are shown to be extr…
math.CA2014★ 2 cited
A Variation on Selberg's Approximation Problem
Michael Kelly
Let in the upper half-plane and let be an interval. We construct an analogue of Selberg's majorant of the characteristic function of that vanishes at the p…