Inducing Riesz and orthonormal bases in $L^2$ via composition operators

Yahya Saleh, Armin Iske

Let $C_h$ be a composition operator mapping $L^2({\Omega }_1)$ into $L^2({\Omega }_2)$ for some open sets ${\Omega }_1,{\Omega }_2\subseteq {\mathbb{R}}^n$. We characterize the mappings $h$ that transform Riesz b…