An inverse problem for weighted Paley-Wiener spaces

R. V. Bessonov, R. V. Romanov

Let $\mu$ be a measure on the real line $\mathbb{R}$ such that ${\int }_{\mathbb{R}}\frac{d\mu (t)}{1+t^2}<\infty$ and let $a>0$. Assume that the norms $\Vert f{\Vert }_{L^2(\mathbb{R})}$ and $\|f…