“…Unfortunately, we do not obtain results as strong as the ones found in [6,8,5], which allow us to recover f ∈ PW [−π,π] in L 2 and uniformly; however, if F[ f ] is concentrated enough near the origin, a recovery result similar to [2] is possible. With this in mind, for 0 < β < δ, we let B β = {ξ ∈ R 2 : |ξ | ≤ β} be the ball of radius β in R 2 .…”