Analysis of several complex variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
|
| Schriftenreihe: | Translations of Mathematical Monographs
211 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index. - Aus dem Japan. übers. |
| Beschreibung: | XVII, 121 Seiten |
| ISBN: | 0821820982 |
Internformat
MARC
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| 245 | 1 | 0 | |a Analysis of several complex variables |c Takeo Ohsawa ; translated by Shu Gilbert Nakamura |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a XVII, 121 Seiten | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of Mathematical Monographs |v 211 | |
| 490 | 0 | |a Iwanami Series in Modern Mathematics | |
| 500 | |a Includes bibliographical references and index. - Aus dem Japan. übers. | ||
| 650 | 4 | |a Analyse mathématique | |
| 650 | 4 | |a Fonctions de plusieurs variables complexes | |
| 650 | 4 | |a Functions of several complex variables | |
| 650 | 4 | |a Mathematical analysis | |
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Datensatz im Suchindex
| _version_ | 1804129288490844160 |
|---|---|
| adam_text | Contents
Preface ix
Preface to the English Edition xi
Summary and Prospects of the Theory xiii
Chapter 1. Holomorphic Functions 1
1.1. Definitions and Elementary Properties 1
1.2. Cauchy Riemann Equations 8
1.3. Reinhardt Domains 18
Chapter 2. Rings of Holomorphic Functions and d Cohomology 23
2.1. Spectra and the d Equation 23
2.2. Extension Problems and the d Equation 25
2.3. d Cohomology and Serre s Condition 27
Chapter 3. Pseudoconvexity and
Plurisubharmonic Functions 35
3.1. Pseudoconvexity of Domains of Holomorphy 35
3.2. Regularization of Plurisubharmonic Functions 41
3.3. Levi Pseudoconvexity 47
Chapter 4. L2 Estimates and Existence Theorems 55
4.1. L2 Estimates and Vanishing of d Cohomology 55
4.2. Three Fundamental Theorems 75
Chapter 5. Solutions of the Extension and
Division Problems 83
5.1. Solutions of the Extension Problems 83
5.2. Solutions of Division Problems 87
5.3. Extension Theorem with Growth Rate Condition 93
5.4. Applications of the L2 Extension Theorem 100
vii
viii CONTENTS
Chapter 6. Bergman Kernels 105
6.1. Definitions and Examples 105
6.2. Transformation Law and an Application
to Holomorphic Mappings 107
6.3. Boundary Behavior of Bergman Kernels 110
Bibliography 115
Index 119
|
| any_adam_object | 1 |
| author | Ohsawa, Takeo |
| author_GND | (DE-588)1162350547 |
| author_facet | Ohsawa, Takeo |
| author_role | aut |
| author_sort | Ohsawa, Takeo |
| author_variant | t o to |
| building | Verbundindex |
| bvnumber | BV014438473 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331.7 |
| callnumber-search | QA331.7 |
| callnumber-sort | QA 3331.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 780 |
| ctrlnum | (OCoLC)49355825 (DE-599)BVBBV014438473 |
| dewey-full | 515/.94 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.94 |
| dewey-search | 515/.94 |
| dewey-sort | 3515 294 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014438473 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:02:45Z |
| institution | BVB |
| isbn | 0821820982 |
| language | English Japanese |
| lccn | 2002019351 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009869229 |
| oclc_num | 49355825 |
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| owner | DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | XVII, 121 Seiten |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs Iwanami Series in Modern Mathematics |
| spelling | Ohsawa, Takeo Verfasser (DE-588)1162350547 aut Tahensu fukuso kaiseki Analysis of several complex variables Takeo Ohsawa ; translated by Shu Gilbert Nakamura Providence, RI American Mathematical Society 2002 XVII, 121 Seiten txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 211 Iwanami Series in Modern Mathematics Includes bibliographical references and index. - Aus dem Japan. übers. Analyse mathématique Fonctions de plusieurs variables complexes Functions of several complex variables Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 s Mehrere komplexe Variable (DE-588)4169285-8 s Analysis (DE-588)4001865-9 s DE-604 Translations of Mathematical Monographs 211 (DE-604)BV000002394 211 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009869229&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ohsawa, Takeo Analysis of several complex variables Translations of Mathematical Monographs Analyse mathématique Fonctions de plusieurs variables complexes Functions of several complex variables Mathematical analysis Analysis (DE-588)4001865-9 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Funktion Mathematik (DE-588)4071510-3 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4169285-8 (DE-588)4071510-3 |
| title | Analysis of several complex variables |
| title_alt | Tahensu fukuso kaiseki |
| title_auth | Analysis of several complex variables |
| title_exact_search | Analysis of several complex variables |
| title_full | Analysis of several complex variables Takeo Ohsawa ; translated by Shu Gilbert Nakamura |
| title_fullStr | Analysis of several complex variables Takeo Ohsawa ; translated by Shu Gilbert Nakamura |
| title_full_unstemmed | Analysis of several complex variables Takeo Ohsawa ; translated by Shu Gilbert Nakamura |
| title_short | Analysis of several complex variables |
| title_sort | analysis of several complex variables |
| topic | Analyse mathématique Fonctions de plusieurs variables complexes Functions of several complex variables Mathematical analysis Analysis (DE-588)4001865-9 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Funktion Mathematik (DE-588)4071510-3 gnd |
| topic_facet | Analyse mathématique Fonctions de plusieurs variables complexes Functions of several complex variables Mathematical analysis Analysis Mehrere komplexe Variable Funktion Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009869229&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT ohsawatakeo tahensufukusokaiseki AT ohsawatakeo analysisofseveralcomplexvariables |