The aim of the presentation is to provide a proof of the fact that, given a basis of exponentials on a bounded domain in Euclidean space whose boundary has Minkowski dimension less than the dimension, the maximum gap between distinct points of the index set is bounded by a fixed constant times the Minkowski content of the boundary. An extension to exponential frames will also be provided.
Reference: Iosevich, I., Pedersen, S. How large are the spectral gaps? Pac. J. Math., No. 2, 307-314 (2000).