Special chapters in the theory of analytic functions of several complex variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1965
|
| Schriftenreihe: | Translations of Mathematical Monographs
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 357 Seiten |
Internformat
MARC
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| 240 | 1 | 0 | |a Special'nye glavy teorii analitičeskich funkcii mnogich kompleksnych peremennych |
| 245 | 1 | 0 | |a Special chapters in the theory of analytic functions of several complex variables |c by B. A. Fuks |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1965 | |
| 300 | |a VI, 357 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Translations of Mathematical Monographs |v 14 | |
| 650 | 7 | |a Analytische functies |2 gtt | |
| 650 | 7 | |a Complexe variabelen |2 gtt | |
| 650 | 4 | |a Fonctions d'une variable complexe | |
| 650 | 7 | |a Funcoes (Matematica) |2 larpcal | |
| 650 | 4 | |a Functions of several complex variables | |
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Datensatz im Suchindex
| _version_ | 1804117095038844928 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface v
Introduction 1
Chapter I. Approximation of functions and domains 13
§1. Domains of convergence 13
§2. Approximation by means of functions belonging to a complete
family 26
§3 Runge domains and their generalization 47
§4. Expansion by orthogonal functions 56
§5. Properties of the kernel function of a domain 77
§6. Sequences of domains. Problem of convergence of holomorphy
hulls 94
Chapter II. Fundamental problems. Coherent analytic sheaves 103
§7. Formulation of fundamental problems. Solution of Cousin s
first problem for domains of holomorphy of the space Cn.
Applications 103
§8. Coherent analytic sheaves over complex manifolds 110
§9. Coherent analytic sheaves over complex manifolds having
properties (A) and (B) 128
§10. Proof of H. Cartan s Theorems (A) and (B) for cubes on
the space C 136
§11. Proof of Theorems (A) and (B) for holomorphically com¬
plete complex manifolds 148
§12. Solution of fundamental problems for holomorphically
complete complex manifolds 156
Chapter III. Domains analytically convex in the sense of Hartogs 171
§13. Plurisubharmonic functions 171
§14. Solution of the Hartogs inverse problem 194
§15. The Silov and Bergman boundaries of domains of holomorphy 215
§16. Relative analytic convexity. Applications to the theory of
approximation 226
iii
iv TABLE OF CONTENTS
Chapter IV. Holomorphic extension of domains 235
§17. General methods of holomorphic extension of domains 235
§18. Holomorphic extension of semitubular domains 251
§19. Holomorphic extension of domains of special type 259
Chapter V. Biholomorphic mappings 272
§20. Sets of holomorphic mappings 272
§21. Metric invariant under biholomorphic mappings of domains
of the space C 282
§22. Representative coordinates of the Bergman metric 294
§23. Representative domains of the space C2 304
§24. Homogeneous bounded domains 312
§25. Some estimates for biholomorphic mappings 327
§26. Quasi biholomorphic mappings 337
Bibliography 347
Subject index 355
|
| any_adam_object | 1 |
| author | Fuks, Boris A. 1907-1975 |
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| classification_rvk | SK 780 |
| ctrlnum | (OCoLC)938805 (DE-599)BVBBV002742116 |
| dewey-full | 517.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517.8 |
| dewey-search | 517.8 |
| dewey-sort | 3517.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002742116 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:48:57Z |
| institution | BVB |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001753242 |
| oclc_num | 938805 |
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| physical | VI, 357 Seiten |
| psigel | TUB-nvmb |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | American Mathematical Society |
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| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Fuks, Boris A. 1907-1975 Verfasser (DE-588)1035042126 aut Special'nye glavy teorii analitičeskich funkcii mnogich kompleksnych peremennych Special chapters in the theory of analytic functions of several complex variables by B. A. Fuks Providence, RI American Mathematical Society 1965 VI, 357 Seiten txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 14 Analytische functies gtt Complexe variabelen gtt Fonctions d'une variable complexe Funcoes (Matematica) larpcal Functions of several complex variables Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mehrere Variable (DE-588)4277015-4 s DE-604 Translations of Mathematical Monographs 14 (DE-604)BV000002394 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fuks, Boris A. 1907-1975 Special chapters in the theory of analytic functions of several complex variables Translations of Mathematical Monographs Analytische functies gtt Complexe variabelen gtt Fonctions d'une variable complexe Funcoes (Matematica) larpcal Functions of several complex variables Mehrere Variable (DE-588)4277015-4 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4277015-4 (DE-588)4018935-1 |
| title | Special chapters in the theory of analytic functions of several complex variables |
| title_alt | Special'nye glavy teorii analitičeskich funkcii mnogich kompleksnych peremennych |
| title_auth | Special chapters in the theory of analytic functions of several complex variables |
| title_exact_search | Special chapters in the theory of analytic functions of several complex variables |
| title_full | Special chapters in the theory of analytic functions of several complex variables by B. A. Fuks |
| title_fullStr | Special chapters in the theory of analytic functions of several complex variables by B. A. Fuks |
| title_full_unstemmed | Special chapters in the theory of analytic functions of several complex variables by B. A. Fuks |
| title_short | Special chapters in the theory of analytic functions of several complex variables |
| title_sort | special chapters in the theory of analytic functions of several complex variables |
| topic | Analytische functies gtt Complexe variabelen gtt Fonctions d'une variable complexe Funcoes (Matematica) larpcal Functions of several complex variables Mehrere Variable (DE-588)4277015-4 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Analytische functies Complexe variabelen Fonctions d'une variable complexe Funcoes (Matematica) Functions of several complex variables Mehrere Variable Funktionentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT fuksborisa specialnyeglavyteoriianaliticeskichfunkciimnogichkompleksnychperemennych AT fuksborisa specialchaptersinthetheoryofanalyticfunctionsofseveralcomplexvariables |