Methods of the theory of functions of many complex variables:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. [u.a.]
<<The>> MIT Press
1966
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 353 Seiten graph. Darst. |
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| 245 | 1 | 0 | |a Methods of the theory of functions of many complex variables |c Vasiliy Sergeyevich Vladimirov |
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Record in the Search Index
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| adam_text | Contents
PREFACE v
INTRODUCTION vii
I. THE BASIC PROPERTIES OF HOLOMORPHIC FUNCTIONS 1
1. Notations and Definitions 1
2. Some Facts from the Theory of Functions of n Real Variables 7
3. Facts Taken from the Theory of Generalized Functions 13
4. Definitions and Simplest Properties of Holomorphic Functions 28
5. Holomorphic Functions at Infinitely Distant Points 36
6. Holomorphic Continuation 39
7. Holomorphic Mappings 44
8. Domains of Holomorphy 50
II. PLURISUBHARMONIC FUNCTIONS AND PSEUDOCONVEX
DOMAINS 56
9. Subharmonic Functions 56
10. Plurisubharmonic Functions 73
11. Convex Functions 84
12. Pseudoconvex Domains 94
13. Convex Domains 108
m. DOMAINS AND ENVELOPES OF HOLOMORPHY 116
14. Multiple Circular Domains and Power Series 116
15. Hartogs Domains and Series 122
16. Holomorphic Convexity 134
17. Continuity Principles 149
18. Local Pseudoconvexity 155
19. Global Pseudoconvexity 171
20. Envelopes of Holomorphy 176
21. Construction of Envelopes of Holomorphy 181
IV. INTEGRAL REPRESENTATIONS 191
22. Facts from the Theory of Differential Forms 191
23. The Martinelli Bochner Integral Representation 200
24. The Bergman Weil Integral Representation 204
25. Bochner s Integral Representation 218
V. SOME APPLICATIONS OF THE THEORY OF FUNCTIONS OF
SEVERAL COMPLEX VARIABLES 229
26. Functions That Are Holomorphic in Tubular Cones 230
XI
XII CONTENTS
27. Bogolyubov s Edge of the Wedge Theorem 251
28. A Theorem on C Convex Envelopes 265
29. Some Applications of the Preceding Results 274
30. Generalized Functions Associated with Light Cones 294
31. Representations of the Solutions of the Wave Equation 303
32. The Jost Lehmann Dyson Integral Representation 316
33. Construction of an Envelope of Holomorphy K(T U G) 327
REFERENCES 339
INDEX 349
|
| any_adam_object | 1 |
| author | Vladimirov, Vasilij S. 1923-2012 |
| author_GND | (DE-588)119416662 |
| author_facet | Vladimirov, Vasilij S. 1923-2012 |
| author_role | aut |
| author_sort | Vladimirov, Vasilij S. 1923-2012 |
| author_variant | v s v vs vsv |
| building | Verbundindex |
| bvnumber | BV004017466 |
| classification_rvk | SK 780 |
| ctrlnum | (OCoLC)263565213 (DE-599)BVBBV004017466 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004017466 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:07:25Z |
| institution | BVB |
| language | English |
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| physical | XII, 353 Seiten graph. Darst. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | <<The>> MIT Press |
| record_format | marc |
| spelling | Vladimirov, Vasilij S. 1923-2012 Verfasser (DE-588)119416662 aut Metody teorii funkcij mnogich kompleksnych peremennych Methods of the theory of functions of many complex variables Vasiliy Sergeyevich Vladimirov Cambridge, Mass. [u.a.] <<The>> MIT Press 1966 XII, 353 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mehrere Variable (DE-588)4277015-4 s DE-604 Komplexe Variable (DE-588)4164905-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002518596&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vladimirov, Vasilij S. 1923-2012 Methods of the theory of functions of many complex variables Funktionentheorie (DE-588)4018935-1 gnd Mehrere Variable (DE-588)4277015-4 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4277015-4 (DE-588)4164905-9 |
| title | Methods of the theory of functions of many complex variables |
| title_alt | Metody teorii funkcij mnogich kompleksnych peremennych |
| title_auth | Methods of the theory of functions of many complex variables |
| title_exact_search | Methods of the theory of functions of many complex variables |
| title_full | Methods of the theory of functions of many complex variables Vasiliy Sergeyevich Vladimirov |
| title_fullStr | Methods of the theory of functions of many complex variables Vasiliy Sergeyevich Vladimirov |
| title_full_unstemmed | Methods of the theory of functions of many complex variables Vasiliy Sergeyevich Vladimirov |
| title_short | Methods of the theory of functions of many complex variables |
| title_sort | methods of the theory of functions of many complex variables |
| topic | Funktionentheorie (DE-588)4018935-1 gnd Mehrere Variable (DE-588)4277015-4 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| topic_facet | Funktionentheorie Mehrere Variable Komplexe Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002518596&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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