17 citations · 18 across the 9 of their papers we have counts for
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math.CA2017
A Note on Band-limited Minorants of an Euclidean Ball
Felipe Gonçalves
We study the Beurling-Selberg problem of finding band-limited -functions that lie below the indicator function of an Euclidean ball. We compute the critical radius of the supp…
math.CA2017★ 17 cited
Orthogonal Polynomials and Sharp Estimates for the Schrödinger Equation
Felipe Gonçalves
In this paper we study sharp estimates for the Schrödinger operator via the framework of orthogonal polynomials. We use spherical harmonics and Gegenbauer polynomials to prove a ne…
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…