Several complex variables and the geometry of real hypersurfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
1993
|
| Series: | Studies in advanced mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 272 S. |
| ISBN: | 0849382726 |
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MARC
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| 245 | 1 | 0 | |a Several complex variables and the geometry of real hypersurfaces |c John P. D'Angelo |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
1 Holomorphic Functions and Mappings 1
1.1 Preliminaries 1
1.2 Holomorphic mappings 11
1.3 Further applications 25
1.4 Basic analytic geometry 31
2, Holomorphic Mappings and Local Algebra 42
2.1 Finite analytic mappings 42
2.2 Intersection numbers 60
2.3 The order of contact of an ideal 71
2.4 Higher order invariants 85
3 Geometry of Real Hypersurfaces 88
3.1 CR geometry 88
3.2 Algebraic real hypersurfaces and complex varieties 100
3.3 Real analytic subvarieties 108
4 Points of Finite Type 123
4.1 Orders of contact 123
4.2 Local bounds 135
4.3 Other finite type conditions 141
4.4 Conclusions 148
VII
via
5 Proper Holomorphic Mappings Between Balls 151
5.1 Rational proper mappings 151
5.2 Invariance under fixed point free finite unitary groups 171
5.3 Boundary behavior 188
O Geometry of the d Neumann Problem 194
6.1 Introduction to the problem 194
6.2 Existence and regularity results on the d and
d Neumann problems 198
6.3 Subellipticity 199
6.4 Subelliptic multipliers 206
6.5 Varieties of positive holomorphic dimension 225
7 Analysis on Finite Type Domains 242
1.1 The Bergman projection 242
7.2 Boundary invariants and CR mappings 249
Problems 254
Index of Notation 261
Bibliography 265
Index 271
|
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| author | D'Angelo, John P. 1951- |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T16:58:03Z |
| institution | BVB |
| isbn | 0849382726 |
| language | English |
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| physical | XIII, 272 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Studies in advanced mathematics |
| spelling | D'Angelo, John P. 1951- Verfasser (DE-588)143370472 aut Several complex variables and the geometry of real hypersurfaces John P. D'Angelo Boca Raton [u.a.] CRC Press 1993 XIII, 272 S. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Functions of several complex variables Hypersurfaces Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Hyperfläche (DE-588)4161054-4 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 s Hyperfläche (DE-588)4161054-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004630371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | D'Angelo, John P. 1951- Several complex variables and the geometry of real hypersurfaces Functions of several complex variables Hypersurfaces Mehrere komplexe Variable (DE-588)4169285-8 gnd Hyperfläche (DE-588)4161054-4 gnd |
| subject_GND | (DE-588)4169285-8 (DE-588)4161054-4 |
| title | Several complex variables and the geometry of real hypersurfaces |
| title_auth | Several complex variables and the geometry of real hypersurfaces |
| title_exact_search | Several complex variables and the geometry of real hypersurfaces |
| title_full | Several complex variables and the geometry of real hypersurfaces John P. D'Angelo |
| title_fullStr | Several complex variables and the geometry of real hypersurfaces John P. D'Angelo |
| title_full_unstemmed | Several complex variables and the geometry of real hypersurfaces John P. D'Angelo |
| title_short | Several complex variables and the geometry of real hypersurfaces |
| title_sort | several complex variables and the geometry of real hypersurfaces |
| topic | Functions of several complex variables Hypersurfaces Mehrere komplexe Variable (DE-588)4169285-8 gnd Hyperfläche (DE-588)4161054-4 gnd |
| topic_facet | Functions of several complex variables Hypersurfaces Mehrere komplexe Variable Hyperfläche |
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