Hardy Classes on Infinitely Connected Riemann Surfaces

Morisuke Hasumi (auth.)9780387127293, 0387127291

Table of contents :
Theory of Riemann surfaces: A quick review….Pages 1-22
Multiplicative analytic functions….Pages 23-38
Martin compactification….Pages 39-63
Hardy classes….Pages 64-82
Riemann surfaces of Parreau-Widom type….Pages 83-118
Green lines….Pages 119-143
Cauchy theorems….Pages 144-159
Shift-invariant subspaces….Pages 160-178
Characterization of surfaces of Parreau-Widom type….Pages 179-207
Examples of surfaces of Parreau-Widom type….Pages 208-233
Classification of plane regions….Pages 234-261