Shift invariant measures and simple spectrum
Volume 84 / 2000
Colloquium Mathematicum 84 (2000), 385-394
DOI: 10.4064/cm-84/85-2-385-394
Abstract
We consider some descriptive properties of supports of shift invariant measures on $ℂ^{ℤ}$ under the assumption that the closed linear span (in $L^{2}$) of the co-ordinate functions on $ℂ^{ℤ}$ is all of $L^{2}$.