CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS

M. Salah Baouendi; Peter Ebenfelt; Linda Preiss Rothschild

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CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS

M. Salah Baouendi , Peter Ebenfelt and Linda Preiss Rothschild

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This chapter is in the book Real Submanifolds in Complex Space and Their Mappings

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Harvard
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Baouendi, M. Salah, Ebenfelt, Peter and Rothschild, Linda Preiss. "CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS". Real Submanifolds in Complex Space and Their Mappings, Princeton: Princeton University Press, 1999, pp. 205-240. https://doi.org/10.1515/9781400883967-009

Baouendi, M., Ebenfelt, P. & Rothschild, L. (1999). CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS. In Real Submanifolds in Complex Space and Their Mappings (pp. 205-240). Princeton: Princeton University Press. https://doi.org/10.1515/9781400883967-009

Baouendi, M., Ebenfelt, P. and Rothschild, L. 1999. CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS. Real Submanifolds in Complex Space and Their Mappings. Princeton: Princeton University Press, pp. 205-240. https://doi.org/10.1515/9781400883967-009

Baouendi, M. Salah, Ebenfelt, Peter and Rothschild, Linda Preiss. "CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS" In Real Submanifolds in Complex Space and Their Mappings, 205-240. Princeton: Princeton University Press, 1999. https://doi.org/10.1515/9781400883967-009

Baouendi M, Ebenfelt P, Rothschild L. CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS. In: Real Submanifolds in Complex Space and Their Mappings. Princeton: Princeton University Press; 1999. p.205-240. https://doi.org/10.1515/9781400883967-009

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Chapters in this book

Frontmatter i
CONTENTS vii
PREFACE xi
CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂ^N 1
CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES 35
CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY 62
CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS 94
CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS 119
CHAPTER VI. GEOMETRY OF ANALYTIC DISCS 156
CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES 184
CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS 205
CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES 241
CHAPTER X. SEGRE SETS 281
CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS 315
CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS 349
CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES 379
REFERENCES 390
INDEX 401

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https://doi.org/10.1515/9781400883967-009

Chapters in this book

Frontmatter i
CONTENTS vii
PREFACE xi
CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂ^N 1
CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES 35
CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY 62
CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS 94
CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS 119
CHAPTER VI. GEOMETRY OF ANALYTIC DISCS 156
CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES 184
CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS 205
CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES 241
CHAPTER X. SEGRE SETS 281
CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS 315
CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS 349
CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES 379
REFERENCES 390
INDEX 401

CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS

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Chapters in this book

Chapters in this book