Evolution processes and the Feynman Kac formula:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1996
|
| Series: | Mathematics and its applications
353 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 235 S. |
| ISBN: | 079233843X |
Staff View
MARC
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| 245 | 1 | 0 | |a Evolution processes and the Feynman Kac formula |c by Brian Jefferies |
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Record in the Search Index
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| adam_text | Contents
Preface ix
Introduction 1
Chapter 1. Vector Measures and Function Spaces 7
1.1 Terminology and Notation 7
1.2 Vector Measures 11
1.3 Vector Integration 14
1.4 Function Spaces 16
1.5 Convergence 21
1.6 Notes 24
Chapter 2. Evolution Processes 25
2.1 Markov Evolution Processes 25
2.2 Construction of a Additive Processes 31
2.3 Sufficient Conditions for Boundedness 35
2.4 Bounded Finite Dimensional Distributions for Convolution Groups 41
2.5 Bounded Finite Dimensional Distributions and Regular Operators 49
2.6 Notes 57
Chapter 3. Feynman Kac Formulae 59
3.1 Multiplicative Functionals 59
3.2 Continuity of the Perturbed Semigroup 62
3.3 A General Feynman Kac Formula for Bounded Processes 65
3.4 The Feynman Kac Formula for Probabilistic Markov Processes 71
3.5 Notes 79
Chapter 4. Bilinear Integration 81
4.1 Bilinear Integration in Tensor Products 81
4.2 Semivariation 87
4.3 Integration of Operator Valued Functions with respect to Operator
Valued Measures 91
4.4 Bilinear Integration for Lp Spaces 99
4.5 Semivariation in Lp Spaces 101
4.6 Examples of Bilinear Integrals 105
4.7 Notes HO
Chapters. Random Evolutions 112
5.1 Multiplicative Operator Functionals 113
5.2 A Noncommutative Feynman Kac Formula 120
5.3 Representation of Evolutions 129
viii CONTENTS
5.4 Notes 132
Chapter 6. Some Bounded Evolution Processes 134
6.1 More Bilinear Integrals 135
6.2 Operator Valued Transition Functions 138
6.3 Semigroups on L°° with a Bounded Generator 142
6.4 The Direct Sum of Dynamical Systems 147
6.5 Support Properties 159
6.6 Notes 169
Chapter 7. Integration with respect to Unbounded Set Functions 171
7.1 Integration with respect to Closable Systems of Set Functions 171
7.2 Integration Structures 178
7.3 A Non closable Bimeasure 187
7.4 Notes 190
Chapter 8. The Schrodinger Process 191
8.1 The Schrodinger Process 191
8.2 The Feynman Representation for the Schrodinger Process 197
8.3 Notes 202
Chapter 9. The Radial Dirac Process 204
9.1 The Radially Symmetric Dirac Process 204
9.2 Construction of the Cut Off Measures fl,(* 0, e 0 207
9.3 The Support of the Cut Off Measures /?, M), e 0 208
9.4 Integration with Respect toM, and M,(f), e 0 218
9.5 The Feynman Representation for the Radial Dirac Process 221
9.6 Notes 227
Bibliography 229
Index 233
|
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| id | DE-604.BV010675326 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:01Z |
| institution | BVB |
| isbn | 079233843X |
| language | English |
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| physical | IX, 235 S. |
| publishDate | 1996 |
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| publisher | Kluwer Acad. Publ. |
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| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Jefferies, Brian Verfasser aut Evolution processes and the Feynman Kac formula by Brian Jefferies Dordrecht [u.a.] Kluwer Acad. Publ. 1996 IX, 235 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 353 Kwantummechanica gtt Quantentheorie Evolution equations Path integrals Quantum theory Vector spaces Pfadintegral (DE-588)4173973-5 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Pfadintegral (DE-588)4173973-5 s DE-604 Evolutionsgleichung (DE-588)4129061-6 s Mathematics and its applications 353 (DE-604)BV008163334 353 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007124088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jefferies, Brian Evolution processes and the Feynman Kac formula Mathematics and its applications Kwantummechanica gtt Quantentheorie Evolution equations Path integrals Quantum theory Vector spaces Pfadintegral (DE-588)4173973-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Dynamisches System (DE-588)4013396-5 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| subject_GND | (DE-588)4173973-5 (DE-588)4129061-6 (DE-588)4013396-5 (DE-588)4221363-0 |
| title | Evolution processes and the Feynman Kac formula |
| title_auth | Evolution processes and the Feynman Kac formula |
| title_exact_search | Evolution processes and the Feynman Kac formula |
| title_full | Evolution processes and the Feynman Kac formula by Brian Jefferies |
| title_fullStr | Evolution processes and the Feynman Kac formula by Brian Jefferies |
| title_full_unstemmed | Evolution processes and the Feynman Kac formula by Brian Jefferies |
| title_short | Evolution processes and the Feynman Kac formula |
| title_sort | evolution processes and the feynman kac formula |
| topic | Kwantummechanica gtt Quantentheorie Evolution equations Path integrals Quantum theory Vector spaces Pfadintegral (DE-588)4173973-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Dynamisches System (DE-588)4013396-5 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| topic_facet | Kwantummechanica Quantentheorie Evolution equations Path integrals Quantum theory Vector spaces Pfadintegral Evolutionsgleichung Dynamisches System Nichtlineare Evolutionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007124088&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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