Topology on Spaces of Holomorphic Mappings

Topology on Spaces of Holomorphic Mappings

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Nachbin Leopoldo
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
EAN: 9783642885136
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Podrobné informácie

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.
EAN 9783642885136
ISBN 3642885136
Typ produktu Mäkká väzba
Vydavateľ Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Dátum vydania 21. marca 2012
Stránky 68
Jazyk English
Rozmery 235 x 155
Krajina Germany
Čitatelia Professional & Scholarly
Autori Nachbin Leopoldo
Ilustrácie VIII, 68 p.
Edícia Softcover reprint of the original 1st ed. 1969
Séria Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge