Espaces de Poisson des groupes localement compacts:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Berlin [u.a.]
Springer
1970
|
| Series: | Lecture notes in mathematics
148 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 141 S. |
Staff View
MARC
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| 245 | 1 | 0 | |a Espaces de Poisson des groupes localement compacts |c Robert Azencott |
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Record in the Search Index
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| adam_text | TABLE DES MATIERES
0 - INTRODUCTION 01
1 - CONSTRUCTION DE L ESPACE DE POISSON.
1.1. Préliminaires 1
1.2. Représentation intégrale des fonctions
y - harmoniques 4
1.3. Mesures contractiles 10
1.4. Mesures contractiles et y - invariantes ..... 15
1.5. Hypothèses de régularité sur la mesure u .... 21
II - CARACTERESATION DE L ESPACE DE POISSON (CAS DES ES¬
PACES HOMOGENES).
II. 1. Introduction 28
11.2. Mesures p - invariantes et quasi-invariantes. 29
11.3. Caractérisation de l espace de Poisson 36
11.4. Propriété de point fixe «... 41
11.5. Frontières maximales 44
III- CAS DES GROUPES SEMI-SIMPLES.
111.1. Quelques propriétés classiques des groupes
semi-simples 55
111.2. Frontières et espaces de Poisson d un groupe
semi-simple 57
111.3. Mesures contractiles sur les espaces homo¬
gènes 60
111.4. Détermination de l espace de Poisson d une
mesure donnée 62
111.5. Construction de mesures ayant un espace de
Poisson donné 66
IV - PERIODES DES FONCTIONS p - HARMONIQUES.
IV. 1. Restriction à un sous-groupe 71
IV.2. Périodes des fonctions u ~ harmoniques ...... 74
IV. 3. Passage au quotient , 85
IV.4. Applications aux groupes de type (T) 92
IV.5. Applications aux groupes ayant la propriété
de point fixe 94
V - GROUPES DE TYPE (T).
V.l. Introduction 100
V.2. Espaces de Poisson des groupes de Lie
connexes 101
V.3. Radical d un groupe de type (T) 106
V.4. Caractérisation des groupes de type (T) ayant
la propriété de point fixe 113
V.5. Contre-exemples 121
V.6. Application aux opérateurs différentiels du se¬
cond ordre invariants à gauche 132
BIBLIOGRAPHIE 139
|
| any_adam_object | 1 |
| author | Azencott, Robert |
| author_facet | Azencott, Robert |
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| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)247050919 (DE-599)BVBBV002952677 |
| discipline | Mathematik |
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| id | DE-604.BV002952677 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:19Z |
| institution | BVB |
| language | French |
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| physical | IX, 141 S. |
| psigel | HUB-ZB011200708 |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Azencott, Robert Verfasser aut Espaces de Poisson des groupes localement compacts Robert Azencott Berlin [u.a.] Springer 1970 IX, 141 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 148 Lokal kompakte Gruppe - Poisson-Formel Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Poissonscher Raum gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 s Poissonscher Raum f DE-604 Maßtheorie (DE-588)4074626-4 s Lecture notes in mathematics 148 (DE-604)BV000676446 148 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Azencott, Robert Espaces de Poisson des groupes localement compacts Lecture notes in mathematics Lokal kompakte Gruppe - Poisson-Formel Lokal kompakte Gruppe (DE-588)4168094-7 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4168094-7 (DE-588)4074626-4 |
| title | Espaces de Poisson des groupes localement compacts |
| title_auth | Espaces de Poisson des groupes localement compacts |
| title_exact_search | Espaces de Poisson des groupes localement compacts |
| title_full | Espaces de Poisson des groupes localement compacts Robert Azencott |
| title_fullStr | Espaces de Poisson des groupes localement compacts Robert Azencott |
| title_full_unstemmed | Espaces de Poisson des groupes localement compacts Robert Azencott |
| title_short | Espaces de Poisson des groupes localement compacts |
| title_sort | espaces de poisson des groupes localement compacts |
| topic | Lokal kompakte Gruppe - Poisson-Formel Lokal kompakte Gruppe (DE-588)4168094-7 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Lokal kompakte Gruppe - Poisson-Formel Lokal kompakte Gruppe Maßtheorie Poissonscher Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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