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" Holomorphic functions, domains of holomorphy and local properties "
Notes prepared by Richard M. Aron.
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BL
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| Record Number
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980144
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b734514
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| Main Entry
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Nachbin, Leopoldo.
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| Title & Author
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Holomorphic functions, domains of holomorphy and local properties\ Notes prepared by Richard M. Aron.
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| Publication Statement
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Amsterdam ;London :: North-Holland Pub. Co.,, 1970.
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| Series Statement
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North-Holland mathematics studies ;; 1
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| Page. NO
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1 online resource (131 p.).
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| ISBN
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0080871127
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: 1281777633
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: 6611777636
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: 9780080871127
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: 9781281777638
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: 9786611777630
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| Notes
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"Sole distributor for the U.S.A.: American Elsevier, New York."
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| Bibliographies/Indexes
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Includes bibliography.
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| Contents
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Front Cover; Holomorphic Functions, Domains of Holomorphy and Local Properties; Copyright Page; Table of Contents; Chapter 1. Holomorphic Functions; Section 1. Holomorphic Functions of 1 Complex Variable; Section 2. Holomorphic Functions of Several Complex Variables; Section 3. Cauchy Integral; Section 4. Differentiation of Holomorphic Functions and the Cauchy Inequalities; Section 5. The Natural Topology on the Spaces of Holomorphic Functions; Section 6. Taylor Series and Unique Analytic Continuation; Section 7. Maximum Modulus Theorem; Section 8. Holomorphic Mappings
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Chapter 2. Domains of HolomorphySection 9. Removable Singularities; Section 10. Domains of Holomorphy; Section 11. The Cartan-Thullen Theorem; Section 12. Open Sets of Convergence of Power Series; Section 13. Further Properties of Open Sets of Holomorphy; Chapter 3. Local Properties; Section 14. Germs of Analytic Functions; Section 15. The Division and Preparation Theorems; Section 16. The Noetherian Property; Section 17. Unique Factorization Properties; Bibliography
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| Abstract
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Holomorphic functions, domains of holomorphy and local properties.
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| Subject
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Analytic functions.
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Holomorphic functions.
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Analytic functions.
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Holomorphic functions.
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| Dewey Classification
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515/.9
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| LC Classification
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QA331.N33 1970
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| Added Entry
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Aron, Richard M.
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