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Introduction to Holomorphic Functions of Several Variables, Volume II: Local Theory [Kõva köide]

  • Formaat: Hardback, 238 pages, kõrgus x laius: 234x156 mm, kaal: 521 g
  • Ilmumisaeg: 01-Aug-1990
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 0534133096
  • ISBN-13: 9780534133092
  • Formaat: Hardback, 238 pages, kõrgus x laius: 234x156 mm, kaal: 521 g
  • Ilmumisaeg: 01-Aug-1990
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 0534133096
  • ISBN-13: 9780534133092
This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
1. Local Rings of Holomorphic Functions
2. Holomorphic Varieties and Subvarieties
3. Finite Branched Holomorphic Coverings
4. Local Parametrization of Holomorphic Varieties
5. Some Applications of Local Parametrization
6. Oka's Theorem
7. Dimension
8. Holomorphic Functions on Varieties
9. Tangent Spaces
10. Holomorphic Vector Fields and Differential Equations
11. Holomorphic Extensions
12. Holomorphic Mappings
13. Projective Spaces
14. Proper Holomorphic Mappings and Modifications
15. Meromorphic Functions in Cn
16. Meromorphic Functions on Varieties
17. Normal Varieties
18. Normalization of Varieties
Gunning\, R.C.