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Holomorphic function theory in several variables : an introduction

Author: Christine Laurent-Thiébaut
Publisher: London ; New York : Springer-Verlag, ©2011.
Series: Universitext.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Laurent-Thiébaut, Christine.
Holomorphic function theory in several variables.
London ; New York : Springer ; France : EDP Sciences, 2011
(DLC) 2010934643
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christine Laurent-Thiébaut
ISBN: 9780857290304 0857290304
OCLC Number: 670064385
Description: 1 online resource (xiii, 252 pages).
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 #xF707; in strictly pseudoconvex domains --
Characterisation of removable singularities of CR functions on a strictly pseudoconvex boundary --
Appendices.
Series Title: Universitext.
Responsibility: Christine Laurent-Thiébaut.
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Abstract:

This book introduces complex analysis in several variables. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon. Includes appendices on  Read more...

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From the reviews: "This introduction to complex analysis in several variables uses integral representation theory together with Grauert's bumping method to characterize domains of holomorphy, in Read more...

 
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