Cluster Sets

Language: English

Published by Springer, Springer Jan 1960, 1960

3540025162 / 9783540025160

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -For the first systematic investigations of the theory of cluster sets of analytic functions, we are indebted to IVERSEN [1-3J and GROSS [1-3J about forty years ago. Subsequent important contributions before 1940 were made by SEIDEL [1-2J, DOOE [1-4J, CARTWRIGHT [1-3J and BEURLING [1]. The investigations of SEIDEL and BEURLING gave great impetus and interest to Japanese mathematicians; beginning about 1940 some contributions were made to the theory by KUNUGUI [1-3J, IRIE [IJ, TOKI [IJ, TUMURA [1-2J, KAMETANI [1-4J, TsuJI [4J and NOSHIRO [1-4J. Recently, many noteworthy advances have been made by BAGEMIHL, SEIDEL, COLLINGWOOD, CARTWRIGHT, HERVE, LEHTO, LOHWATER, MEIER, OHTSUKA and many other mathematicians. The main purpose of this small book is to give a systematic account on the theory of cluster sets. Chapter I is devoted to some definitions and preliminary discussions. In Chapter II, we treat extensions of classical results on cluster sets to the case of single-valued analytic functions in a general plane domain whose boundary contains a compact set of essential singularities of capacity zero; it is well-known that HALLSTROM [2J and TsuJI [7J extended independently Nevanlinna's theory of meromorphic functions to the case of a compact set of essential singUlarities of logarithmic capacity zero. Here, Ahlfors' theory of covering surfaces plays a funda mental role. Chapter III 'is concerned with functions meromorphic in the unit circle. 144 pp. Englisch.

Seller Inventory # 9783540025160

Title
Cluster Sets
Author
Kiyoshi Noshiro
Publisher
Springer, Springer Jan 1960
Publication year
1960
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540025162
ISBN 13
9783540025160
Item weight
230 grams
Dimensions
235x155x9 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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