31 citations · 63 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Pattern Equivariant Cohomology and Theorems of Kesten and Oren
Michael Kelly, Lorenzo Sadun
In 1966 Harry Kesten settled the Erd\H os-Szüsz conjecture on the local discrepancy of irrational rotations. His proof made heavy use of continued fractions and Diophantine analysi…
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices
Alan Haynes, Henna Koivusalo
For any irrational cut-and-project setup, we demonstrate a natural infinite family of windows which gives rise to separated nets that are each bounded distance to a lattice. Our pr…
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…