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math.CA2025
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…
math.CA2025
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…