4 papers
The Turán and Delsarte problems and their duals
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
We study two optimization problems for positive definite functions on Euclidean space with restrictions on their support and sign: the Turan problem and the Delsarte problem. These…
Geometric implications of weak tiling
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
The notion of weak tiling played a key role in the proof of Fuglede's spectral set conjecture for convex domains, due to the fact that every spectral set must weakly tile its compl…
Functional tilings and the Coven-Meyerowitz tiling conditions
Gergely Kiss, Itay Londner, Máté Matolcsi +1
Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conject…
A lonely weak tile
Gergely Kiss, Itay Londner, Máté Matolcsi +1
The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies \cite{conv}, due to the fact that every spectral set tiles its co…