Polynomial Approximation in $L^2$ of the Double Exponential via Complex Analysis

Pierre Bizeul, Boaz Klartag

We study the polynomial approximation problem in $L^2({\mu }_1)$ where ${\mu }_1(dx)=e^{-|x|}/2dx$. We show that for any absolutely continuous function $f$, $$ \sum_{k=1}^{\infty} \log^2(…