Extension of holomorphic functions:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; New York
<<de>> Gruyter
2000
|
| Series: | De Gruyter expositions in mathematics
34 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 487 S. |
| ISBN: | 3110153637 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1
Riemann domains 1
1.1 Riemann domains over C 3
1.2 Holomorphic functions 18
1.3 Examples of Riemann regions 21
1.4 Holomorphic extension of Riemann domains 25
1.5 The boundary of a Riemann domain 29
1.6 Union, intersection, and direct limit of Riemann domains 39
1.7 Domains of existence 50
1.8 Maximal holomorphic extensions 54
1.9 Liftings of holomorphic mappings 1 62
1.10 Holomorphic convexity 75
1.11 Riemann surfaces 86
Chapter 2
Pseudoconvexity 96
2.1 Plurisubharmonic functions 96
2.2 Pseudoconvexity 129
2.3 The Kiselman minimum principle 153
2.4 3 operator 159
2.5 Solution of the Levi Problem 177
2.6 Regular solutions 184
2.7 Approximation 190
2.8 The Remmert embedding theorem 195
2.9 The Docquier Grauert criteria 201
2.10 The division theorem 208
2.11 Spectrum 219
2.12 Liftings of holomorphic mappings II 224
Chapter 3
Envelopes of holomorphy for special domains 235
3.1 Univalent envelopes of holomorphy 235
3.2 ^ tubular domains 258
x Contents
3.3 Matrix Reinhardt domains 284
3.4 The envelope of holomorphy of X M 302
3.5 Separately holomorphic functions 324
3.6 Extension of meromorphic functions 334
Chapter 4
Existence domains of special families of holomorphic functions 341
4.1 Special domains 341
4.2 The Ohsawa Takegoshi extension theorem 388
4.3 The Skoda division theorem 410
4.4 The Catlin Hakim Sibony theorem 422
4.5 Structure of envelopes of holomorphy 441
List of symbols 461
Bibliography 469
Index 483
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013366643 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:44:35Z |
| institution | BVB |
| isbn | 3110153637 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009117661 |
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| owner | DE-824 DE-703 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-824 DE-703 DE-11 DE-19 DE-BY-UBM |
| physical | X, 487 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | <<de>> Gruyter |
| record_format | marc |
| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Jarnicki, Marek 1952- Verfasser (DE-588)101811095X aut Extension of holomorphic functions by Marek Jarnicki ; Peter Pflug Berlin ; New York <<de>> Gruyter 2000 X, 487 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 34 Holomorfe functies gtt Holomorphic functions Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Erweiterung (DE-588)4128080-5 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 s Erweiterung (DE-588)4128080-5 s DE-604 Pflug, Peter Verfasser aut De Gruyter expositions in mathematics 34 (DE-604)BV004069300 34 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009117661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jarnicki, Marek 1952- Pflug, Peter Extension of holomorphic functions De Gruyter expositions in mathematics Holomorfe functies gtt Holomorphic functions Holomorphe Funktion (DE-588)4025645-5 gnd Erweiterung (DE-588)4128080-5 gnd |
| subject_GND | (DE-588)4025645-5 (DE-588)4128080-5 |
| title | Extension of holomorphic functions |
| title_auth | Extension of holomorphic functions |
| title_exact_search | Extension of holomorphic functions |
| title_full | Extension of holomorphic functions by Marek Jarnicki ; Peter Pflug |
| title_fullStr | Extension of holomorphic functions by Marek Jarnicki ; Peter Pflug |
| title_full_unstemmed | Extension of holomorphic functions by Marek Jarnicki ; Peter Pflug |
| title_short | Extension of holomorphic functions |
| title_sort | extension of holomorphic functions |
| topic | Holomorfe functies gtt Holomorphic functions Holomorphe Funktion (DE-588)4025645-5 gnd Erweiterung (DE-588)4128080-5 gnd |
| topic_facet | Holomorfe functies Holomorphic functions Holomorphe Funktion Erweiterung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009117661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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