Lectures on Several Complex Variables

• Κύριος συγγραφέας: Gauthier, Paul M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Functions of a Complex Variable.

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...

Πίνακας περιεχομένων:

• 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.