On Non-Periodic Tilings of the Real Line by a Function
On Non-Periodic Tilings of the Real Line by a Function
It is known that a positive, compactly supported function |$f \in L^1(\mathbb R)$| can tile by translations only if the translation set is a finite union of periodic sets. We prove that this is not the case if |$f$| is allowed to have unbounded support. On the other hand, we …