A characterization of the kernel of the Poincaré series operator
A characterization of the kernel of the Poincaré series operator
Let $\Gamma$ be a finitely generated Fuchsian group of the first kind acting on the unit disk $\Delta$. The kernel of the Poincaré series operator of the Hardy space ${H^p}, 1 < p < \infty$, onto the Bers space ${A_q}(\Gamma )$ of integrable holomorphic automorphic forms of weight $- 2q, …