A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$

Håkan Hedenmalm, Peter Lindqvist, Kristian Seip

For a function $\phi$ in $L^2(0,1)$, extended to the whole real line as an odd periodic function of period 2, we ask when the collection of dilates $\phi (nx)$, $n=1,2,3,\dots$, constitu…