Generalized diffusion operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1993
|
| Edition: | 1. ed. |
| Series: | Mathematical research
75 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 114 S. |
| ISBN: | 3055016173 |
Staff View
MARC
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| 100 | 1 | |a Löbus, Jörg-Uwe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Generalized diffusion operators |c by Jörg-Uwe Löbus |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1993 | |
| 300 | |a 114 S. | ||
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Record in the Search Index
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| adam_text | Contents
Introduction 9
1 Linear Local Operators 13
1.1 Basic Definitions and Notations 13
1.2 Harmonic Functions and Harmonic Measures 15
1.3 Subharmonic Functions 21
1.4 A Representation Theorem 24
1.5 Examples of Linear Local Operators Belonging to the Class 21 28
2 Potential Representations 33
2.1 Potential Measures 33
2.2 Potential Densities 38
2.3 Associated Continuous Strong Markov Processes 47
2.4 Non standard Examples 52
3 Transition Densities 57
3.1 The Resolvent Kernel 57
3.2 Existence of Densities 60
3.3 Continuous Strong Markov Processes with Transition Densities 67
3.4 Appendix: Assertions Concerning Laplace Transforms and Analytic
Functions 70
4 Operators with Harmonic Functions of a Second Order Elliptic Dif¬
ferential Operator 75
4.1 Representations 75
4.2 Further Operators Belonging to the Class 21 80
4.3 Infinitesimal Operators of a Class of Markov Processes 83
4.4 An Application 85
4.5 The One dimensional Case 87
8 CONTENTS
4.6 Transition Densities 89
5 Intrinsic Geometrical Structures 91
5.1 Skorohod s Result 92
5.2 Geometrical Structures 95
5.3 The Final Definition, Examples and Remarks 100
Related Investigations and Notes 105
Bibliography 109
Index 113
Symbol Index 115
|
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| author | Löbus, Jörg-Uwe |
| author_facet | Löbus, Jörg-Uwe |
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| dewey-full | 519.2/33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| edition | 1. ed. |
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| id | DE-604.BV008101734 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:14:27Z |
| institution | BVB |
| isbn | 3055016173 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005336967 |
| oclc_num | 29232693 |
| open_access_boolean | |
| owner | DE-12 DE-824 DE-11 |
| owner_facet | DE-12 DE-824 DE-11 |
| physical | 114 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Löbus, Jörg-Uwe Verfasser aut Generalized diffusion operators by Jörg-Uwe Löbus 1. ed. Berlin Akad.-Verl. 1993 114 S. txt rdacontent n rdamedia nc rdacarrier Mathematical research 75 Linear operators Markov processes Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 s Linearer Operator (DE-588)4167721-3 s DE-604 Mathematical research 75 (DE-604)BV000008585 75 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005336967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Löbus, Jörg-Uwe Generalized diffusion operators Mathematical research Linear operators Markov processes Markov-Prozess (DE-588)4134948-9 gnd Linearer Operator (DE-588)4167721-3 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4167721-3 |
| title | Generalized diffusion operators |
| title_auth | Generalized diffusion operators |
| title_exact_search | Generalized diffusion operators |
| title_full | Generalized diffusion operators by Jörg-Uwe Löbus |
| title_fullStr | Generalized diffusion operators by Jörg-Uwe Löbus |
| title_full_unstemmed | Generalized diffusion operators by Jörg-Uwe Löbus |
| title_short | Generalized diffusion operators |
| title_sort | generalized diffusion operators |
| topic | Linear operators Markov processes Markov-Prozess (DE-588)4134948-9 gnd Linearer Operator (DE-588)4167721-3 gnd |
| topic_facet | Linear operators Markov processes Markov-Prozess Linearer Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005336967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT lobusjorguwe generalizeddiffusionoperators |