Holomorphic Functions, Domains of Holomorphy and Local Properties
Published on 26. August 2011
121 pages
978-0-08-087112-7 (ISBN)
Description
Holomorphic Functions, Domains of Holomorphy and Local Properties
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Content
- 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
- Chapter 2. Domains of Holomorphy
- Section 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
