Baouendi / Ebenfelt / Rothschild Real Submanifolds in Complex Space and Their Mappings

Erscheinungsjahr 2016
ISBN: 978-1-4008-8396-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 47, 416 Seiten

Reihe: Princeton Mathematical Series

No detailed description available for "Real Submanifolds in Complex Space and Their Mappings".

Autoren/Hrsg.

Baouendi, M. Salah

Ebenfelt, Peter

Rothschild, Linda Preiss

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

Preface

Ch. I Hypersurfaces and Generic Submanifolds in C[superscript N] 3

Ch. II Abstract and Embedded CR Structures 35

Ch. III Vector Fields: Commutators, Orbits, and Homogeneity 62

Ch. IV Coordinates for Generic Submanifolds 94

Ch. V Rings of Power Series and Polynomial Equations 119

Ch. VI Geometry of Analytic Discs 156

Ch. VII Boundary Values of Holomorphic Functions in Wedges 184

Ch. VIII Holomorphic Extension of CR Functions 205

Ch. IX Holomorphic Extension of Mappings of Hypersurfaces 241

Ch. X Segre Sets 281

Ch. XI Nondegeneracy Conditions for Manifolds 315

Ch. XII Holomorphic Mappings of Submanifolds 349

Ch. XIII Mappings of Real-algebraic Subvarieties 379

References 390

Index 401

Über Autor(innen)

M. Salah Baouendi and Linda Preiss Rothschild are Professors of Mathematics at the University of California, San Diego. Peter Ebenfelt is Associate Professor of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.