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CONTRIBUTIONS TO THE THEORY OF RIEMANN SURFACES
CONTRIBUTIONS TO THE THEORY OF RIEMANN SURFACES

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  • 出版年份:1953
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  • 页数:264 页
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《CONTRIBUTIONS TO THE THEORY OF RIEMANN SURFACES》目录
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1.Developments of the Theory of Conformal Mapping and Riemann Surfaces Through a Century&By Lars V.Ahlfors 3

2.Variational Methods in the Theory of Riemann Surfaces&By Menahem Schiffer 15

3.Semigroups of Transformations of a Riemann Surface into Itself&By Paul C.Rosenbloom 31

4.An Extremal Boundary Problem&By A.C.Schaeffer 41

5.On Dirichlet's Principle&By Max Shiffman 49

6.A Problem Concerning the Continuation of Riemann Surfaces&By Maurice Heins 55

7.Construction of Functions with Prescribed Properties on Riemann Surfaces&By Leo Sario 63

8.Metric Riemann Surfaces&By Eugenio Calabi 77

9.Some Results Related to Extremal Length&By James A.Jenkins 87

10.Random Walk and the Type Problem of Riemann Surfaces&By Shizuo Kakutani 95

11.Construction of Parabolic Riemann Surfaces by the General Reflection Principle&By Wilfred Kaplan 103

12.On the Ideal Boundary of a Riemann Surface&By H.L.Royden 107

13.Topological Methods on Riemann Surfaces Pseudoharmonic Functions&By Marston Morse and James A.Jenkins 111

14.Coverings of Riemann Surfaces&By Leonce Foures 141

15.Partial Differential Equations and Pseudo-Analytic Functions on Riemann Surfaces&By Lipman Bers 157

16.Dirichlet's Principle and Some Inequalities in the Theory of Conformal Mapping&By Zeev Nehari 167

17.On the Effective Determination of Conformal Maps&By S.E.Warschawski 177

18.Structure of Complex Spaces&By S.Bochner 189

19.Real and Complex Operators on Manifolds&By D.C.Spencer 203

20.Multivalued Solutions of Linear Partial Differential Equations&By S.Bergman 229

21.The Theorem of Riemann-Roch for Adjoint Systems on Kahlerian Varieties&By K.Kodaira 247

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