Differential forms orthogonal to holomorphic functions or forms, and their properties:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Soc.
1983
|
| Schriftenreihe: | Translations of mathematical monographs
56. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. - EST: Differencial'nye formy ortogonal'nye golomorfnym funkcijam ili formam, i ich svojstva (engl.) |
| Beschreibung: | IX, 163 S. |
| ISBN: | 082184508X |
Internformat
MARC
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| 240 | 1 | 0 | |a Differencial'nye formy ortogonal'nye golomorfnym funkcijam ili formam, i ich svojstva |
| 245 | 1 | 0 | |a Differential forms orthogonal to holomorphic functions or forms, and their properties |c Lev A. Ajzenberg ; Šamil' A. Dautov* |
| 264 | 1 | |a Providence, RI |b American Mathematical Soc. |c 1983 | |
| 300 | |a IX, 163 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 56. | |
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| 650 | 7 | |a Analise Complexa (Matematica) |2 larpcal | |
| 650 | 7 | |a Differentiaalvormen |2 gtt | |
| 650 | 4 | |a Fonctions holomorphes | |
| 650 | 4 | |a Formes différentielles | |
| 650 | 4 | |a Formes extérieures (Mathématiques) | |
| 650 | 7 | |a Holomorfe functies |2 gtt | |
| 650 | 4 | |a Differential forms | |
| 650 | 4 | |a Exterior forms | |
| 650 | 4 | |a Holomorphic functions | |
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Datensatz im Suchindex
| _version_ | 1804117995651334144 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface to the American Edition vii
Preface ix
Introduction 1
CHAPTER I. Integral representation of exterior differential forms and
its immediate consequences 5
1. The Martinelli Bochner Koppelman formula 5
2. Theorems on the saltus of forms 14
3. Characterization of the trace of a holomorphic form on the
boundary of a domain 28
4. Some cases of the solvability of the d problem 31
CHAPTER II. Forms orthogonal to holomorphic forms 37
5. Polynomials orthogonal to holomorphic functions 37
6. Forms orthogonal to holomorphic forms: the case of strictly
pseudo convex domains 45
7. The general case 47
8. Converse theorems 49
CHAPTER HI. Properties of 3 closed forms of type (p, n 1) 53
9. The theorems of Runge and Morera 53
10. The first Cousin problem, separation of singularities, and domains
of existence 57
11. Theorems of approximation on compact sets 60
v
vi CONTENTS
CHAPTER IV. Some applications 67
12. Generalization of the theorems of Hartogs and F. and M. Riesz 67
13. On the general form of integral representations of holomorphic
functions 71
14. Representation of distributions in ^ (R2™ 1) by 9 closed ex¬
terior differential forms of type (n, n — 1) 76
15. Multiplication of distributions in ^ (R2™ 1) 82
Brief historical survey and open problems for Chapters I IV 85
CHAPTER V. Integral properties characterizing d closed differential
forms and holomorphic functions 89
16. A characteristic property of 3 closed forms and forms of class B 89
17. Holomorphy of continuous functions representable by the Martin
elli Bochner integral; criteria for the holomorphy of integrals of
the Martinelli Bochner type 94
18. The traces of holomorphic functions on the Shilov boundary of
a circular domain 107
19. Computation of an integral of Martinelli Bochner type for the
case of the ball 111
20. Differential boundary conditions for the holomorphy of functions 116
CHAPTER VI. Forms orthogonal to holomorphic forms. Weighted
formula for solving the d equation, and applications 125
21. Forms orthogonal to holomorphic forms 125
22. Generalization of Theorem 8.1 130
23. Weighted formula for solving the 3 problem in strictly convex
domains and zeros of functions of the Nevanlinna Dzhrbashyan
class 132
CHAPTER VH. Representation and multiplication of distributions in
higher dimensions 137
24. Harmonic representation of distributions 137
25. The product of distributions and its properties 141
26. Examples of products of distributions 144
Supplement to the Brief Historical Survey 151
Bibliography 153
Subject index 163
Index of symbols 165
j
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| any_adam_object | 1 |
| author | Ajzenberg, Lev Abramovič 1937- Dautov, Šamil' A. |
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| dewey-raw | 515.9 |
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| discipline | Mathematik |
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| id | DE-604.BV003645640 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:16Z |
| institution | BVB |
| isbn | 082184508X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002322256 |
| oclc_num | 9256240 |
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| physical | IX, 163 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | American Mathematical Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Ajzenberg, Lev Abramovič 1937- Verfasser (DE-588)121563545 aut Differencial'nye formy ortogonal'nye golomorfnym funkcijam ili formam, i ich svojstva Differential forms orthogonal to holomorphic functions or forms, and their properties Lev A. Ajzenberg ; Šamil' A. Dautov* Providence, RI American Mathematical Soc. 1983 IX, 163 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 56. Aus d. Russ. übers. - EST: Differencial'nye formy ortogonal'nye golomorfnym funkcijam ili formam, i ich svojstva (engl.) Analise Complexa (Matematica) larpcal Differentiaalvormen gtt Fonctions holomorphes Formes différentielles Formes extérieures (Mathématiques) Holomorfe functies gtt Differential forms Exterior forms Holomorphic functions Differentialform (DE-588)4149772-7 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 s Differentialform (DE-588)4149772-7 s DE-604 Dautov, Šamil' A. Verfasser aut Translations of mathematical monographs 56. (DE-604)BV000002394 56. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002322256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ajzenberg, Lev Abramovič 1937- Dautov, Šamil' A. Differential forms orthogonal to holomorphic functions or forms, and their properties Translations of mathematical monographs Analise Complexa (Matematica) larpcal Differentiaalvormen gtt Fonctions holomorphes Formes différentielles Formes extérieures (Mathématiques) Holomorfe functies gtt Differential forms Exterior forms Holomorphic functions Differentialform (DE-588)4149772-7 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| subject_GND | (DE-588)4149772-7 (DE-588)4025645-5 |
| title | Differential forms orthogonal to holomorphic functions or forms, and their properties |
| title_alt | Differencial'nye formy ortogonal'nye golomorfnym funkcijam ili formam, i ich svojstva |
| title_auth | Differential forms orthogonal to holomorphic functions or forms, and their properties |
| title_exact_search | Differential forms orthogonal to holomorphic functions or forms, and their properties |
| title_full | Differential forms orthogonal to holomorphic functions or forms, and their properties Lev A. Ajzenberg ; Šamil' A. Dautov* |
| title_fullStr | Differential forms orthogonal to holomorphic functions or forms, and their properties Lev A. Ajzenberg ; Šamil' A. Dautov* |
| title_full_unstemmed | Differential forms orthogonal to holomorphic functions or forms, and their properties Lev A. Ajzenberg ; Šamil' A. Dautov* |
| title_short | Differential forms orthogonal to holomorphic functions or forms, and their properties |
| title_sort | differential forms orthogonal to holomorphic functions or forms and their properties |
| topic | Analise Complexa (Matematica) larpcal Differentiaalvormen gtt Fonctions holomorphes Formes différentielles Formes extérieures (Mathématiques) Holomorfe functies gtt Differential forms Exterior forms Holomorphic functions Differentialform (DE-588)4149772-7 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| topic_facet | Analise Complexa (Matematica) Differentiaalvormen Fonctions holomorphes Formes différentielles Formes extérieures (Mathématiques) Holomorfe functies Differential forms Exterior forms Holomorphic functions Differentialform Holomorphe Funktion |
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| volume_link | (DE-604)BV000002394 |
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