Positiveness of the Reproducing Kernel in the Space PD(R)
Ivan J. Singer · Nagoya Mathematical Journal · 1972
An important problem in the study of the Hilbert space PD(R) of Dirichlet finite solutions of Δu = Pu on a Riemann surface R is to know the behavior of the reproducing kernel in PD(R). The main result of this paper is that the reproducing kernel is strictly positive.