Verfügbarkeit: Analytic functions of several complex variables

Analytic functions of several complex variables:

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Bibliographische Detailangaben
Hauptverfasser:	Gunning, Robert C. 1931- (VerfasserIn), Rossi, Hugo 1935- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Providence, RI AMS Chelsea Publ. 2009
Ausgabe:	Repr.
Schlagworte:	Functions of several complex variables Functional analysis Mehrere Variable Komplexe Variable Analytische Funktion Funktionentheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1965, in series: Prentice-Hall series in modern analysis.
Beschreibung:	XII, 317 S.
ISBN:	9780821821657

Internformat

MARC


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883	1		\|8 3\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Datensatz im Suchindex

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adam_text	CONTENTS Chapter I — Holomorphic Functions A The Elementary Properties of Holomorphic Functions .... 1 В Holomorphic Mappings and Complex Manifolds ...... 13 С Removable Singularities ................. 19 D The Calculus of Differential Forms ............ 22 E The Cousin Theorem ........................ 31 F Polynomial Approximations ................ 36 G Envelopes of Holomorphy ................ 43 H Some Applications to Uniform Algebras .......... 55 Notes ......................... 63 Chapter II — Local Rings of Holomorphic Functions 65 A The Elementary Properties of the Local Rings ........ 65 В The Weierstrass Theorems ................ 67 С Modules Over the Local Rings .............. 73 D The Extended Weierstrass Division Theorem ........ 79 E Germs of Varieties .................... 85 Notes ......................... 92 Chapter III—Varieties 93 A The Nullstellensatz for Prime Ideals, and Local Parametrization 93 В Analytic Covers ..................... 101 С Dimension ....................... 110 Notes ......................... 117 Chapter IV—Analytic Sheaves 118 A The Elementary Properties of Sheaves ........... 118 В Sheaves of Modules ................... 124 С Analytic Sheaves on Subdomains of <Ľn ........... 133 D Analytic Sheaves on Subvarieties of C ........... 138 Notes ......................... 146 Chapter V—Analytic Spaces 147 A Definitions and Examples ................. 147 В Holomorphic Functions on an Analytic Space ........ 155 С The Proper Mapping Theorem .............. 160 D Nowhere Degenerate Maps ................ 166 Notes ......................... 171 Chapter VI—Cohomology Theory 172 A Soft Sheaves and Fine Sheaves .............. 172 В The Axioms of Sheaf Cohomology ............. 175 С The Theorem of Dolbeault on Cohomology ......... 183 D Leray s Theorem on Cohomology ............. 186 E Cartan s Lemma ..................... 192 F Amalgamation of Syzygies ............... . 201 Notes ......................... 207 Chapter VII— Stein Spaces, Geometric Theory 208 A Approximation Theorems ................. 208 В Special Analytic Polyhedra ................ 215 С The Imbedding Theorem ................. 219 D Uses of Special Analytic Polyhedra ............. 226 Notes ......................... 233 Chapter VIII— Stein Spaces, Sheaf Theory 234 A Frechet Sheaves ..................... 234 В Meromorphic Functions ................ . 246 С Locally Free Sheaves ................... 252 Notes ......................... 259 Chapter IX — Pseudoconvexity 260 A The Complex Hessian .................. 260 В Grauert s Solution of Levi s Problem ........... . 264 С Plurisubharmonic Functions ............... . 271 D Oka s Pseudoconvexity Theorem ............. 279 E Kodaira s Theorem on Projective Varieties ......... 284 Notes ......................... 287 Appendix A—Partitions of Unity 288 Appendix B— The Theorem of Schwartz on Frechet Spaces 290 References and Bibliography 296 Index 313
any_adam_object	1
author	Gunning, Robert C. 1931- Rossi, Hugo 1935-
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author_facet	Gunning, Robert C. 1931- Rossi, Hugo 1935-
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institution	BVB
isbn	9780821821657
language	English
lccn	2009025418
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owner	DE-739 DE-11 DE-703
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physical	XII, 317 S.
publishDate	2009
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publisher	AMS Chelsea Publ.
record_format	marc
spelling	Gunning, Robert C. 1931- Verfasser (DE-588)119324326 aut Analytic functions of several complex variables Robert C. Gunning, Hugo Rossi Repr. Providence, RI AMS Chelsea Publ. 2009 XII, 317 S. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1965, in series: Prentice-Hall series in modern analysis. Functions of several complex variables Functional analysis Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mehrere Variable (DE-588)4277015-4 s 1\p DE-604 Komplexe Variable (DE-588)4164905-9 s 2\p DE-604 Analytische Funktion (DE-588)4142348-3 s 3\p DE-604 Rossi, Hugo 1935- Verfasser (DE-588)174028520 aut Erscheint auch als Online-Ausgabe 978-1-4704-1576-1 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018968288&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Gunning, Robert C. 1931- Rossi, Hugo 1935- Analytic functions of several complex variables Functions of several complex variables Functional analysis Mehrere Variable (DE-588)4277015-4 gnd Komplexe Variable (DE-588)4164905-9 gnd Analytische Funktion (DE-588)4142348-3 gnd Funktionentheorie (DE-588)4018935-1 gnd
subject_GND	(DE-588)4277015-4 (DE-588)4164905-9 (DE-588)4142348-3 (DE-588)4018935-1
title	Analytic functions of several complex variables
title_auth	Analytic functions of several complex variables
title_exact_search	Analytic functions of several complex variables
title_full	Analytic functions of several complex variables Robert C. Gunning, Hugo Rossi
title_fullStr	Analytic functions of several complex variables Robert C. Gunning, Hugo Rossi
title_full_unstemmed	Analytic functions of several complex variables Robert C. Gunning, Hugo Rossi
title_short	Analytic functions of several complex variables
title_sort	analytic functions of several complex variables
topic	Functions of several complex variables Functional analysis Mehrere Variable (DE-588)4277015-4 gnd Komplexe Variable (DE-588)4164905-9 gnd Analytische Funktion (DE-588)4142348-3 gnd Funktionentheorie (DE-588)4018935-1 gnd
topic_facet	Functions of several complex variables Functional analysis Mehrere Variable Komplexe Variable Analytische Funktion Funktionentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018968288&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT gunningrobertc analyticfunctionsofseveralcomplexvariables AT rossihugo analyticfunctionsofseveralcomplexvariables

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