For a locally compact Abelian group , we give a necessary and sufficient condition for shifts of a function to be a Riesz family. Also, for a finite family of compactly supported functions in , we show that the shifts of constitute a Riesz family if and only if the nets , , are linearly independent for all .
"A characterization of the Riesz family of shifts of functions on locally compact Abelian groups." Ann. Funct. Anal. 7 (2) 314 - 325, May 2016. https://doi.org/10.1215/20088752-3506016