Author | Sario, L. author |
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Title | Classification Theory of Riemann Surfaces [electronic resource] / by L. Sario, M. Nakai |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1970 |
Connect to | http://dx.doi.org/10.1007/978-3-642-48269-4 |
Descript | XX, 450 p. online resource |
I Dirichlet Finite Analytic Functions -- ยง 1. Arbitrary Surfaces -- ยง 2. Plane Regions -- ยง 3. Covering Surfaces of the Sphere -- ยง 4. Covering Surfaces of Riemann Surfaces -- II Other Classes of Analytic Functions -- ยง1. Inclusion Relations -- ยง 2. Plane Regions and Conformal Invariants -- ยง 3. K-Functions -- III Dirichlet Finite Harmonic Functions -- ยง 1. Roydenโs Compactification -- ยง 2. Dirichletโs Problem -- ยง 3. Invariance under Deformation -- IV Other Classes of Harmonic Functions -- ยง1. Wienerโs Compactification -- ยง 2. Dirichletโs Problem -- ยง 3. Lindelofian Meromorphic Functions -- ยง 4. Invariance under Deformation -- V Functions with Logarithmic Singularities -- ยง1. Capacity Functions -- ยง 2. Parabolic and Hyperbolic Surfaces -- ยง 3. Existence of Kernels -- VI Functions with Iversen$#x2019;s Property -- ยงClasses OAยฐD and OAยฐB -- ยง 2. Boundary Points of Positive Measure -- Appendix. Higher Dimensions -- Author Index -- Subject and Notation Index