Holomorphic Function Theory in Several Variables An Introduction /

• Κύριος συγγραφέας: Laurent-Thiébaut, Christine (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2011.
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.