Spectral gaps for sets and measures

Abstract

If $X$ is a closed subset of the real line, denote by $\GG_X$ the supremum of the size of the gap in the Fourier spectrum, taken over all non-trivial finite complex measures supported on $X$. In this paper we attempt to find $\GG_X$ in terms of metric properties of $X$.

References in corpus (2)

• Polya sequences, Toeplitz kernels and gap theorems
• Beurling-Malliavin theory for Toeplitz kernels

Cited by in corpus (1)

• Polya sequences, Toeplitz kernels and gap theorems