Generalized random fields on manifolds and Markov properties:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Bochum
Inst. für Mathematik
1993
|
| Series: | Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 100 S. |
Staff View
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| 245 | 1 | 0 | |a Generalized random fields on manifolds and Markov properties |c von Jörg Schäfer |
| 264 | 1 | |a Bochum |b Inst. für Mathematik |c 1993 | |
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Record in the Search Index
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| adam_text | Contents
Acknowledgements j
Contents ii
Introduction iii
CHAPTER 1: GAUSSIAN MARKOV FIELDS AND GENERAL RESULTS
1.1. Introduction and Set Up 1
1.2. Relation to other Markov Properties 5
1.3. Sharp and fc Maxkov Property 12
CHAPTER 2: GENERALIZED GAUSSIAN RANDOM FIELDS
ON VECTOR BUNDLES
2.1. General Setting 27
2.2. Markovian and non Markovian Gaussian Fields 31
CHAPTER 3: LOCAL OPERATORS PRESERVING
MARKOV PROPERTIES
3.1. Abstract Markov Property and General Set Up 39
3.2. Abstract Markov Property and F compatibility 46
3.3. Application I —
White Noise on a Dirac Bundle and the Dirac Equation 47
3.4. Markovian Random Fields and Markov Random Processes —
a Comparison 50
3.5. Application II — Markovian Random Fields as Solutions of the
Inhomogeneous Quaternionic Cauchy Riemann Equation 53
CHAPTER 4: WHITE NOISES ON VECTOR BUNDLES
4.1. Introduction and Indicator Noise 59
4.2. A Characterization of Local Functionals 69
4.3. A Metric Independent Characterization of Local Functionals .... 85
4.4. Local Functionals and White Noises 87
4.5. The Distribution of White Noises 89
4.6. Homogeneous White Noises 91
APPENDIX
Notation Index 93
References 96
ii
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| indexdate | 2024-07-09T17:34:33Z |
| institution | BVB |
| language | English |
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| physical | IX, 100 S. |
| publishDate | 1993 |
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| publisher | Inst. für Mathematik |
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| series | Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik |
| series2 | Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik |
| spelling | Schäfer, Jörg Verfasser aut Generalized random fields on manifolds and Markov properties von Jörg Schäfer Bochum Inst. für Mathematik 1993 IX, 100 S. txt rdacontent n rdamedia nc rdacarrier Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik 3 Zugl.: Bochum, Univ., Diss., 1993 Markov-Zufallsfeld (DE-588)4168933-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Markov-Zufallsfeld (DE-588)4168933-1 s DE-604 Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik 3 (DE-604)BV009298127 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006187396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schäfer, Jörg Generalized random fields on manifolds and Markov properties Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik Markov-Zufallsfeld (DE-588)4168933-1 gnd |
| subject_GND | (DE-588)4168933-1 (DE-588)4113937-9 |
| title | Generalized random fields on manifolds and Markov properties |
| title_auth | Generalized random fields on manifolds and Markov properties |
| title_exact_search | Generalized random fields on manifolds and Markov properties |
| title_full | Generalized random fields on manifolds and Markov properties von Jörg Schäfer |
| title_fullStr | Generalized random fields on manifolds and Markov properties von Jörg Schäfer |
| title_full_unstemmed | Generalized random fields on manifolds and Markov properties von Jörg Schäfer |
| title_short | Generalized random fields on manifolds and Markov properties |
| title_sort | generalized random fields on manifolds and markov properties |
| topic | Markov-Zufallsfeld (DE-588)4168933-1 gnd |
| topic_facet | Markov-Zufallsfeld Hochschulschrift |
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