Hardy Classes on Infinitely Connected Riemann Surfaces

Theory of Riemann surfaces: A quick review.- Multiplicative analytic functions.- Martin compactification.- Hardy classes.- Riemann surfaces of Parreau-Widom type.- Green lines.- Cauchy theorems.- Shift-invariant subspaces.- Characterization of surfaces of Parreau-Widom type.- Examples of surfaces of Parreau-Widom type.- Classification of plane regions.