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Bibliographic Details
Main Author:	Glasner, Shmuel (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1976
Series:	Lecture notes in mathematics 517
Subjects:	Dynamique topologique Fonctions harmoniques Harmonische functies Lie, Groupes de Lie-groepen Topologische dynamica Harmonic functions Lie groups Topological dynamics Topologische Dynamik
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 153 S. graph. Darst.
ISBN:	3540076891 0387076891

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MARC


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adam_text	TABLE OF CONTENTS CHAPTER I: THE UNIVERSAL APPROACH 1 1. Definitions 1 2. The Stone-CSch Compactification of the Discrete Group T 5 3. The Action of 0T on X 10 4. Pointed Flows and the Ellis Group 12 CHAPTER II: PROXIMAL FLOWS 17 1. Proximal and Distal Flows 17 2. Proximal and Weakly Mixing Flows 18 3. Strongly Amenable Groups 19 4. The Universal Proximal Flow 21 5. Examples of Proximal Flows 25 CHAPTER III: STRONGLY PROXIMAL FLOWS 30 1. Definitions 30 2. Affine Flows 32 3. Amenable Groups 34 4.A Countably Infinite Amenable Group has 2C Different Invariant Means 37 5. Fixed Point Theorems 39 6. Disjointness 40 7. Proximal and Strongly Proximal 40 CHAPTER IV: THE FURSTENBERG BOUNDARY OF A LIE GROUP 42 1. Basic Facts from Lie Group Theory 42 2. Characterization of Amenable Lie Groups 46 3. Boundaries of Connected Lie Groups 48 4. The Boundaries of S3L (n,K) 51 5. Disjointness 52 6. Proximal Flows for Lie Groups 54 CHAPTER V: u-HARMONIC FUNCTIONS 55 1. y-Harmonic Functions and Amenability 55 2. Contractible Measures 58 3. Basic Facts from Probability Theory 60 4. The Poisson Flow Associated with u 63 5. CD.-Groups 67 CHAPTER VI: HARMONIC FUNCTIONS ON A SYMMETRIC SPACE 71 1. For € Simple, 2C is a Maximal Closed Subgroup of C : 72 2. The Furstenberg Compactification of a Symmetric Riemann Space 74 3. Harmonic Functions on D 76 4. The Poisson Space Corresponding to C and a Spher¬ ical Measure 82 5. The Case 6 = S1L (2 ,]R) 84 VIII CHAPTER VII: EXPONENTIAL GROWTH, AMENABILITY AND FREE SUBGROUPS ON TWO GENERATORS 87 1. Exponential Growth 88 2. A Characterization of Strong Proximality which does not Depend upon Measures 92 3. A Non-Amenable Group Contains a Finitely Generated Subgroup of Exponential Growth 94 CHAPTER VIII: THE GENERALIZED BOHR COMPACTIFICATION, I 98 1. Group Extensions and Almost Periodic Extensions .... 99 2. The Generalized (Strong) Bohr Compactification 102 3. The Generalized Strong Bohr Compactification of a Connected Lie Group with Finite Center 104 CHAPTER IX: THE GENERALIZED BOHR COMPACTIFICATION, II 112 1. The T-Topology on G 113 2. More about Group Extensions and Almost Periodic Extensions 120 3. The Quasifactors 0l(F) of M 122 4. G/H is the Generalized Bohr Compactification of the Discrete Group T 124 CHAPTER X: PI-FLOWS 127 1. RIC-Extensions 127 2. Still More about Almost Periodic Extensions 129 3. A Construction of RIC-Extensions 131 4. Pi-Flows 134 5. A Basis for the t — Topology l40 6. Ellis Trick 142 7. Structure Theorems 144 BIBLIOGRAPHY 151
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language	English
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spelling	Glasner, Shmuel Verfasser aut Proximal flows Shmuel Glasner Berlin [u.a.] Springer 1976 VIII, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 517 Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s DE-604 Lecture notes in mathematics 517 (DE-604)BV000676446 517 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001283519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Glasner, Shmuel Proximal flows Lecture notes in mathematics Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd
subject_GND	(DE-588)4253345-4
title	Proximal flows
title_auth	Proximal flows
title_exact_search	Proximal flows
title_full	Proximal flows Shmuel Glasner
title_fullStr	Proximal flows Shmuel Glasner
title_full_unstemmed	Proximal flows Shmuel Glasner
title_short	Proximal flows
title_sort	proximal flows
topic	Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd
topic_facet	Dynamique topologique Fonctions harmoniques Harmonische functies Lie, Groupes de Lie-groepen Topologische dynamica Harmonic functions Lie groups Topological dynamics Topologische Dynamik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001283519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT glasnershmuel proximalflows

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