Introduction to the theory of analytic functions of several complex variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1965
|
| Ausgabe: | 2. print. |
| Schriftenreihe: | Translations of mathematical monographs
8 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 388 S. |
Internformat
MARC
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| 100 | 1 | |a Fuks, Boris A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Vvedenie v teoriju analitičeskich funkcii mnogich kompleksnych peremennych |
| 245 | 1 | 0 | |a Introduction to the theory of analytic functions of several complex variables |c by B. A. Fuks |
| 250 | |a 2. print. | ||
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1965 | |
| 300 | |a X, 388 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804117095040942080 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface
Introduction 1
Chapter I. Fundamental properties of holomorpbic functions in a
space of n complex variables 17
§1. Functions of n complex variables, their differentiation and
integration. Holomorphic functional element 17
§2. Cauchy integral formula for polycylindrical regions.
Fundamental properties of a holomorphic functional element 31
§3 Representation of a holomorphic functional element by
power series 38
§4. Preparation theorem of Weierstrass. Analytic sets and
surfaces 55
§5. Extension of a space. Concept of holomorphic function at
the points at infinity of a space 78
§6. Analytic continuation of functions and sets 90
§7. Holomorphic mappings 103
Chapter II. Fundamental properties of holomorphic functions in
plane covering regions. Singular points 117
§8. Plane covering regions over the space P 117
§9 Holomorphic functions and analytic sets in plane covering
regions. Holomorphicity regions and singular points of
holomorphic functions 129
§10. Mappings of regions over the space Pn. Interior branched
regions 146
§11. Plane regions convex relative to some class of holomorphic
functions 157
§12. Analytic convexity 172
§13 Holomorphy hulls. Regions with automorphisms 192
Chapter III. Complex spaces 203
§14. Complex analytic manifolds. Complex analytic coverings 203
Hi
iv TABLE OF CONTENTS
§15. Holomorphic and meromorphic functions on a complex
analytic covering. Complex a spaces of Behnke Stein 214
§16. Complex /3 spaces of Serre 224
§17. Normal spaces of H. Cartan 235
§18. Holomorphically complete spaces and manifolds 243
§19. Riemann domains 252
Chapter IV. Integral representations 261
§20. The fundamental theorem of Cauchy Poincare. Theory
of residues on a complex manifold 261
§21. Application of the methods of potential theory to the
study of holomorphic forms. The integral formula of
Bochner Martinelli 275
§22. The Bergman Weil integral formula 288
§23. Integral representations in domains of special type 300
Chapter V. Functions meromorphic in the whole space Cn. Entire
functions 323
§24. Functions meromorphic in the extended space 323
§25. Cousin s theorem 327
§26. Characteristics of the growth of an entire function 338
Bibliography 357
Subject index 369
|
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| indexdate | 2024-07-09T15:48:57Z |
| institution | BVB |
| language | English |
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| physical | X, 388 S. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Fuks, Boris A. Verfasser aut Vvedenie v teoriju analitičeskich funkcii mnogich kompleksnych peremennych Introduction to the theory of analytic functions of several complex variables by B. A. Fuks 2. print. Providence, RI American Math. Soc. 1965 X, 388 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 8 Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mehrere Variable (DE-588)4277015-4 s 1\p DE-604 Analytische Funktion (DE-588)4142348-3 s 2\p DE-604 Translations of mathematical monographs 8 (DE-604)BV000002394 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fuks, Boris A. Introduction to the theory of analytic functions of several complex variables Translations of mathematical monographs Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4142348-3 (DE-588)4277015-4 |
| title | Introduction to the theory of analytic functions of several complex variables |
| title_alt | Vvedenie v teoriju analitičeskich funkcii mnogich kompleksnych peremennych |
| title_auth | Introduction to the theory of analytic functions of several complex variables |
| title_exact_search | Introduction to the theory of analytic functions of several complex variables |
| title_full | Introduction to the theory of analytic functions of several complex variables by B. A. Fuks |
| title_fullStr | Introduction to the theory of analytic functions of several complex variables by B. A. Fuks |
| title_full_unstemmed | Introduction to the theory of analytic functions of several complex variables by B. A. Fuks |
| title_short | Introduction to the theory of analytic functions of several complex variables |
| title_sort | introduction to the theory of analytic functions of several complex variables |
| topic | Funktionentheorie (DE-588)4018935-1 gnd Analytische Funktion (DE-588)4142348-3 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | Funktionentheorie Analytische Funktion Mehrere Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT fuksborisa vvedenievteorijuanaliticeskichfunkciimnogichkompleksnychperemennych AT fuksborisa introductiontothetheoryofanalyticfunctionsofseveralcomplexvariables |