Extension of Holomorphic Functions
eBook - PDF

Extension of Holomorphic Functions

  1. 497 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Extension of Holomorphic Functions

About this book

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Aix-Marseille Université, France
Katrin Wendland, Trinity College Dublin, Dublin, Ireland

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urba?ski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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Yes, you can access Extension of Holomorphic Functions by Marek Jarnicki, Peter Pflug in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110153637
eBook ISBN
9783110809787
Edition
1
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Preface
  2. Chapter 1. Riemann domains
  3. 1.1 Riemann domains over â„‚n
  4. 1.2 Holomorphic functions
  5. 1.3 Examples of Riemann regions
  6. 1.4 Holomorphic extension of Riemann domains
  7. 1.5 The boundary of a Riemann domain
  8. 1.6 Union, intersection, and direct limit of Riemann domains
  9. 1.7 Domains of existence
  10. 1.8 Maximal holomorphic extensions
  11. 1.9 Liftings of holomorphic mappings I
  12. 1.10 Holomorphic convexity
  13. 1.11 Riemann surfaces
  14. Chapter 2. Pseudoconvexity
  15. 2.1 Plurisubharmonic functions
  16. 2.2 Pseudoconvexity
  17. 2.3 The Kiselman minimum principle
  18. 2.4 [xxx]-operator
  19. 2.5 Solution of the Levi Problem
  20. 2.6 Regular solutions
  21. 2.7 Approximation
  22. 2.8 The Remmert embedding theorem
  23. 2.9 The Docquier-Grauert criteria
  24. 2.10 The division theorem
  25. 2.11 Spectrum
  26. 2.12 Liftings of holomorphic mappings II
  27. Chapter 3. Envelopes of holomorphy for special domains
  28. 3.1 Univalent envelopes of holomorphy
  29. 3.2 k-tubular domains
  30. 3.3 Matrix Reinhardt domains
  31. 3.4 The envelope of holomorphy of X\M
  32. 3.5 Separately holomorphic functions
  33. 3.6 Extension of meromorphic functions
  34. Chapter 4. Existence domains of special families of holomorphic functions
  35. 4.1 Special domains
  36. 4.2 The Ohsawa-Takegoshi extension theorem
  37. 4.3 The Skoda division theorem
  38. 4.4 The Catlin-Hakim-Sibony theorem
  39. 4.5 Structure of envelopes of holomorphy
  40. List of symbols
  41. Bibliography
  42. Index