Measures with uniformly discrete support and spectrum

We characterize the measures on RR which have both their support and spectrum uniformly discrete. A similar result is obtained in RnRn under a stronger discreteness restriction.

RésuméNous caractérisons les mesures sur RR ayant toutes les deux leurs support et spectre uniformément discrets. Un résultat similaire est obtenu dans RnRn sous une restriction de discrétion plus forte.