Holomorphic Function Theory in Several Variables An Introduction /

• Main Author: Laurent-Thiébaut, Christine (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Subjects: Mathematics.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.

This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global result...

Table of Contents:

• Elementary local properties of holomorphic functions of several complex variables
• Currents and complex structures
• The Bochner-Martinelli-Koppelman kernel and formula applications
• Extensions of CR functions
• Extensions of holomorphic and CR functions on manifolds
• Domains of holomorphy and pseudoconvexity
• The Levi problem and the resolution of  in strictly pseudoconvex domains
• Characterisation of removable singularities of CR functions on a strictly pseudoconvex boundary
• Appendices.