《Cluster Sets》求取 ⇩

Ⅰ.Definitions and preliminary discussions1

1.Definitions of cluster sets1

2.Some classical theorems3

Ⅱ.Single-valued analytic functions in general domains5

1.Compact set of capacity zero and Evans-Selberg's theorem6

2.Meromorphic functions with a compact set of essential singularities of capacity zero9

3.Extension of Iversen's theorem on asymptotic values14

4.Extension of Iversen-Gross-Seidel-Beurling's theorem15

5.Hervé's theorems26

Ⅲ.Functions meromorphic in the unit circle32

1.Functions of class (U) in Seidel's sense32

2.Boundary theorems of COLLINGWOOD and CARTWRIGHT48

3.Baire category and cluster sets57

4.Boundary behaviour of meromorphic functions70

5.Meromorphic functions of bounded type and normal meromorphic functions81

Ⅳ.Conformal mapping of Riemann surfaces90

1.Gross' property of covering surfaces90

2.Iversen's property of covering surfaces95

3.Boundary theorems on open Riemann surfaces98

Appendix:Cluster sets of pseudo-analytic functions109

Bibliography121

Subject Index133

1960《Cluster Sets》由于是年代较久的资料都绝版了,几乎不可能购买到实物。如果大家为了学习确实需要,可向博主求助其电子版PDF文件(由Kiyoshi Noshiro 1960 Springer-Verlag 出版的版本) 。对合法合规的求助,我会当即受理并将下载地址发送给你。

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