Probabilities on algebraic structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Stockholm u.a.
Almqvist & Wiksell
1968
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 218 S. |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
Chapter 1. Historical background and practical motivation of the problem
1.1. Why study probabilities on general structures 13
1.2. Some classical methods and results 14
1.3. Practical background to the theory 20
1.4. Historical background 26
Chapter 2. Stochastic semi groups
2.1. Generalities 34
2.2. Stochastic semi groups 36
2.3. Compact stochastic semi groups 39
2.4. Illustrations 49
Chapter 3. Stochastic groups; compact and commutative cases
3.1. Generalities on stochastic groups 55
3.2. Compact stochastic groups 62
3.3. Commutative locally compact stochastic groups 72
3.4. Illustrations 79
Chapter 4. Stochastic Lie groups
4.1. Preliminaries on Lie groups 81
4.2. Homogeneous processes on Lie groups 82
4.3. The law of large numbers for stochastic Lie groups .... 89
4.4. A central limit theorem 91
4.5. Illustrations 96
Chapter 5. Locally compact stochastic groups
5.1. Unitary representations 101
5.2. Fourier analysis of locally compact stochastic groups . . . 104
5.3. Limit theorems on locally compact stochastic groups . . . 110
5.4. Limit theorems on certain divisible groups 114
5.5. Illustrations 118
Chapter 6. Stochastic linear spaces
6.1. Probabilities on a Banach space 127
6.2. Fourier analysis in a stochastic Banach space 130
6.3. Normal distributions in a Hilbert space 140
6.4. The law of large numbers 143
6.5. The central limit theorem 145
6.6. Stochastic Schwartz distributions 146
6.7. Illustrations 148
Chapter 7. Stochastic algebras
7.1. Additive and multiplicative limit theorems 152
7.2. Probabilities on a Banach algebra 160
7.3. Stochastic operators and random equations 163
7.4. More special structures 166
7.5. Illustrations 168
Outlook 183
Notes 186
Bibliography 211
Index 217
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519/.1 |
| dewey-search | 519/.1 |
| dewey-sort | 3519 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
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| indexdate | 2024-07-09T15:48:56Z |
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| language | English |
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| publishDate | 1968 |
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| publisher | Almqvist & Wiksell |
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| spelling | Grenander, Ulf Verfasser aut Probabilities on algebraic structures 2. ed. Stockholm u.a. Almqvist & Wiksell 1968 218 S. txt rdacontent n rdamedia nc rdacarrier Algebraic topology Functional analysis Probabilities Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s Stochastik (DE-588)4121729-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grenander, Ulf Probabilities on algebraic structures Algebraic topology Functional analysis Probabilities Wahrscheinlichkeit (DE-588)4137007-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Algebraische Struktur (DE-588)4001166-5 gnd Stochastik (DE-588)4121729-9 gnd |
| subject_GND | (DE-588)4137007-7 (DE-588)4064324-4 (DE-588)4001166-5 (DE-588)4121729-9 |
| title | Probabilities on algebraic structures |
| title_auth | Probabilities on algebraic structures |
| title_exact_search | Probabilities on algebraic structures |
| title_full | Probabilities on algebraic structures |
| title_fullStr | Probabilities on algebraic structures |
| title_full_unstemmed | Probabilities on algebraic structures |
| title_short | Probabilities on algebraic structures |
| title_sort | probabilities on algebraic structures |
| topic | Algebraic topology Functional analysis Probabilities Wahrscheinlichkeit (DE-588)4137007-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Algebraische Struktur (DE-588)4001166-5 gnd Stochastik (DE-588)4121729-9 gnd |
| topic_facet | Algebraic topology Functional analysis Probabilities Wahrscheinlichkeit Wahrscheinlichkeitsrechnung Algebraische Struktur Stochastik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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