Functional analysis for probability and stochastic processes: an introduction
This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional an...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2005
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| Subjects: | |
| Links: | https://doi.org/10.1017/CBO9780511614583 https://doi.org/10.1017/CBO9780511614583 https://doi.org/10.1017/CBO9780511614583 |
| Summary: | This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xii, 393 pages) |
| ISBN: | 9780511614583 |
| DOI: | 10.1017/CBO9780511614583 |
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Record in the Search Index
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| author | Bobrowski, Adam |
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| contents | Preliminaries, notations and conventions Basic notions in functional analysis Conditional expectation Brownian motion and Hilbert spaces Dual spaces and convergence of probability measures The Gelfand transform and its applications Semigroups of operators and Levy processes Markov processes and semigroups of operators Appendixes |
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| id | DE-604.BV043943809 |
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| indexdate | 2024-12-20T17:49:21Z |
| institution | BVB |
| isbn | 9780511614583 |
| language | English |
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| spelling | Bobrowski, Adam Verfasser aut Functional analysis for probability and stochastic processes an introduction A. Bobrowski Functional Analysis for Probability & Stochastic Processes Cambridge Cambridge University Press 2005 1 online resource (xii, 393 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Preliminaries, notations and conventions 2 Basic notions in functional analysis 3 Conditional expectation 4 Brownian motion and Hilbert spaces 5 Dual spaces and convergence of probability measures 6 The Gelfand transform and its applications 7 Semigroups of operators and Levy processes 8 Markov processes and semigroups of operators 9 Appendixes This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study Functional analysis Functional analysis / Problems, exercises, etc Probabilities Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-53937-1 Erscheint auch als Druckausgabe 978-0-521-83166-6 https://doi.org/10.1017/CBO9780511614583 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bobrowski, Adam Functional analysis for probability and stochastic processes an introduction Preliminaries, notations and conventions Basic notions in functional analysis Conditional expectation Brownian motion and Hilbert spaces Dual spaces and convergence of probability measures The Gelfand transform and its applications Semigroups of operators and Levy processes Markov processes and semigroups of operators Appendixes Functional analysis Functional analysis / Problems, exercises, etc Probabilities Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4018916-8 (DE-588)4079013-7 (DE-588)4064324-4 |
| title | Functional analysis for probability and stochastic processes an introduction |
| title_alt | Functional Analysis for Probability & Stochastic Processes Preliminaries, notations and conventions Basic notions in functional analysis Conditional expectation Brownian motion and Hilbert spaces Dual spaces and convergence of probability measures The Gelfand transform and its applications Semigroups of operators and Levy processes Markov processes and semigroups of operators Appendixes |
| title_auth | Functional analysis for probability and stochastic processes an introduction |
| title_exact_search | Functional analysis for probability and stochastic processes an introduction |
| title_full | Functional analysis for probability and stochastic processes an introduction A. Bobrowski |
| title_fullStr | Functional analysis for probability and stochastic processes an introduction A. Bobrowski |
| title_full_unstemmed | Functional analysis for probability and stochastic processes an introduction A. Bobrowski |
| title_short | Functional analysis for probability and stochastic processes |
| title_sort | functional analysis for probability and stochastic processes an introduction |
| title_sub | an introduction |
| topic | Functional analysis Functional analysis / Problems, exercises, etc Probabilities Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Functional analysis Functional analysis / Problems, exercises, etc Probabilities Stochastic processes Stochastischer Prozess Funktionalanalysis Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung |
| url | https://doi.org/10.1017/CBO9780511614583 |
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