The present report on spaces of holomorphic mappings was prepared
for the Sexto Coloquio Brasileiro de Matematica (Po os de Caldas,
Minas Gerais, Brazil, July 1967). I also had the oppor tunity of
giving a series of lectures on this material while I was a visiting
member at the Center for Theoretical Studies of the University of
Miami (Coral Gables, Florida, USA, February 1968). The preparation
of this report was sponsored in part by the USA National Science
Foundation through a grant to the University of Rochester. I am
glad to thank Professors Paul R. Halmos and Peter J. Hilton for
accepting my text as part of the series Ergebnisse der Mathematik
und ihre Grenzgebiete. Rochester, New York 1968 Leopoldo Nachbin
Contents 1. Introduction. 1 2. Notation and Terminology 4 3.
Continuous Polynomials 6 4. Convergent Power Series 11 5.
Holomorphic Mappings. 16 6. The Cauchy Integral 20 7. Convergence
of Taylor Series. 26 8. Topology on the Space of all Holomorphic
Mappings 31 9. Holomorphy Types. 34 10. Differentiation of
Holomorphy Types . 38 II. Topology on Spaces of Holomorphic
Mappings. 43 12. Bounded Subsets. 49 13. Relatively Compact Subsets
. 54 14. The Current Holomorphy Type 59 15. Bibliographical
References. 62 Subject Index 65 1."
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 47 |
| Release date: |
March 2012 |
| First published: |
1969 |
| Authors: |
Leopoldo Nachbin
|
| Dimensions: |
235 x 155 x 4mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
68 |
| Edition: |
Softcover reprint of the original 1st ed. 1969 |
| ISBN-13: |
978-3-642-88513-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
Promotions
|
| LSN: |
3-642-88513-6 |
| Barcode: |
9783642885136 |
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