Théorie des hyperfonctions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | French |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1970
|
| Schriftenreihe: | Lecture notes in mathematics
126 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Mit Literaturverz. S. 153 - 157 |
| Beschreibung: | XI, 157 S. |
Internformat
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Datensatz im Suchindex
| _version_ | 1804117271155572736 |
|---|---|
| adam_text | TABLE DES MATIERES
Introduction
Table des matières
Préliminaires
CHAPITRE A. Rappels 1
§ 1 Espaces vectoriels topologiques • 1
§ 2 Equations aux dérivées partielles 2
§ 3 Fonctions de variables complexes 6
§ 4 Equations de convolution •• 7
CHAPITRE B. Cohomologie des faisceaux 8
§ 1 Faisceaux 8
§ 2 Faisceaux flasques • 16
§ 3 Cohomologie 19
§ 4 Faisceaux sur un espace paracompact 36
§ 5 Cohomologie de Cech 40
CHAPITRE I . Hyperfonctions 44
§ 1 Fonctions et fonctionnelles analytiques 44
§ 2 Hyperf onctions 52
§ 3 Opération sur les hyper fonctions 61
§ 4 Régularité elliptique et résolution du faisceau des fonctions
holomorphes 69
VIII
CHAPITRE II. Opérateurs elliptiques 77
§ 1 Dualité 77
§ 2 Valeurs au bord des solutions de l équation homogène ..... 81
§ 3 Régularité 87
§ 4 Existence 89
§ 5 Représentation des distributions dans le cas de l opérateur — 91
CHAPITRE III. Résultats divers 98
§ 1 Systèmes différentiels 98
§ 2 Opérateurs différentiels du premier ordre 103
§ 3 Division des hyper fonctions • 109
CHAPITRE IV. Valeurs au bord des fonctions holomorphes 118
3 1 Théorie de SATO 118
§ 2 Utilisation de la cohomologie de Cech 127
§ 3 Représentation des distributions ..... 144
§ 4 Résultats divers 148
BIBLIOGRAPHIE 153
|
| any_adam_object | 1 |
| author | Schapira, Pierre 1943- |
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| classification_rvk | SI 850 |
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| dewey-full | 515.782 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.782 |
| dewey-search | 515.782 |
| dewey-sort | 3515.782 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:51:45Z |
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| language | French |
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| physical | XI, 157 S. |
| psigel | HUB-ZB011201106 |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Schapira, Pierre 1943- Verfasser (DE-588)10785130X aut Théorie des hyperfonctions Pierre Schapira Berlin [u.a.] Springer 1970 XI, 157 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 126 Mit Literaturverz. S. 153 - 157 Funciones Teoría de las distribuciones (Análisis funcional) Hyperfunktion (DE-588)4161056-8 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Hyperfunktion (DE-588)4161056-8 s DE-604 Theorie (DE-588)4059787-8 s Lecture notes in mathematics 126 (DE-604)BV000676446 126 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001866127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schapira, Pierre 1943- Théorie des hyperfonctions Lecture notes in mathematics Funciones Teoría de las distribuciones (Análisis funcional) Hyperfunktion (DE-588)4161056-8 gnd Theorie (DE-588)4059787-8 gnd |
| subject_GND | (DE-588)4161056-8 (DE-588)4059787-8 |
| title | Théorie des hyperfonctions |
| title_auth | Théorie des hyperfonctions |
| title_exact_search | Théorie des hyperfonctions |
| title_full | Théorie des hyperfonctions Pierre Schapira |
| title_fullStr | Théorie des hyperfonctions Pierre Schapira |
| title_full_unstemmed | Théorie des hyperfonctions Pierre Schapira |
| title_short | Théorie des hyperfonctions |
| title_sort | theorie des hyperfonctions |
| topic | Funciones Teoría de las distribuciones (Análisis funcional) Hyperfunktion (DE-588)4161056-8 gnd Theorie (DE-588)4059787-8 gnd |
| topic_facet | Funciones Teoría de las distribuciones (Análisis funcional) Hyperfunktion Theorie |
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