CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS

M. Salah Baouendi; Peter Ebenfelt; Linda Preiss Rothschild

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CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS

M. Salah Baouendi , Peter Ebenfelt und Linda Preiss Rothschild

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Ein Kapitel aus dem Buch Real Submanifolds in Complex Space and Their Mappings

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APA
Harvard
Chicago
Vancouver

Baouendi, M. Salah, Ebenfelt, Peter and Rothschild, Linda Preiss. "CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS". Real Submanifolds in Complex Space and Their Mappings, Princeton: Princeton University Press, 1999, pp. 119-155. https://doi.org/10.1515/9781400883967-006

Baouendi, M., Ebenfelt, P. & Rothschild, L. (1999). CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS. In Real Submanifolds in Complex Space and Their Mappings (pp. 119-155). Princeton: Princeton University Press. https://doi.org/10.1515/9781400883967-006

Baouendi, M., Ebenfelt, P. and Rothschild, L. 1999. CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS. Real Submanifolds in Complex Space and Their Mappings. Princeton: Princeton University Press, pp. 119-155. https://doi.org/10.1515/9781400883967-006

Baouendi, M. Salah, Ebenfelt, Peter and Rothschild, Linda Preiss. "CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS" In Real Submanifolds in Complex Space and Their Mappings, 119-155. Princeton: Princeton University Press, 1999. https://doi.org/10.1515/9781400883967-006

Baouendi M, Ebenfelt P, Rothschild L. CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS. In: Real Submanifolds in Complex Space and Their Mappings. Princeton: Princeton University Press; 1999. p.119-155. https://doi.org/10.1515/9781400883967-006

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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/10.1515/9781400883967-006

Kapitel in diesem Buch

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 V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS

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