Systems of Dilated Functions: completeness, minimality, basisness

Boris Mityagin

We discuss completeness, minimality, and basisness, in $L^2[0,\pi ]$ and $L^p[0,\pi ]$, $p\ne 2$, of dilated systems $u_n(x)=S(nx)$, $n\in \mathbb{N}$, where $S$ is a trigonometri…