A Bargmann transform for translation invariant operators on weighted Bergman spaces of the complex half-plane

Raul Quiroga-Barranco

Let us denote with ${\mathcal{A}}_{\hat{I}}^2»({\mathbb{C}}_{+})$ ($\hat{I}»>-1$) a weighted Bergman space over the right half-plane ${\mathbb{C}}_{+}$, which admits a unitary representation of $\mathbb{…