Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

Streszczenie

We study properties of tempered non-negative purely atomic measures in the Euclidean space whose distributional Fourier transform is a pure point measure. Connections between such measures and almost periodicity are shown, and several forms of the uniqueness theorem are proved. We also obtain necessary and sufficient conditions for a measure with positive integer mass on the real line to correspond to the zero set of an absolutely convergent Dirichlet series with bounded spectrum.