Lectures on Several Complex Variables

This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions.  Based on a course given at Université de Montré...

Full description

Saved in:
Bibliographic Details
Author / Creator: Gauthier, Paul M. (Author, http://id.loc.gov/vocabulary/relators/aut)
Other Corporate Authors / Creators:SpringerLink (Online service)
Format: Electronic eBook
Language:English
Edition:1st ed. 2014.
Imprint: Cham : Springer International Publishing : Imprint: Springer, 2014.
Subjects:
Online Access:Available in Springer Mathematics and Statistics eBooks 2014 English/International.
Table of Contents:
  • Preface
  • Introduction
  • Basics
  • Cauchy Integral Formula
  • Sequences of Holomorphic Functions
  • Series
  • Zero Sets of Holomorphic Functions
  • Holomorphic Mappings
  • Plurisubharmonic Functions
  • The Dirichlet Problem
  • Uniform Approximation
  • Complex Manifolds
  • Examples of Manifolds
  • Holomorphic Continuation
  • The Tangent Space
  • Meromorphic Functions and Subvarieties.