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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
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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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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 iua 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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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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