Infinite-dimensional analysis: operators in Hilbert space ; stochastic calculus via representations, and duality theory
"The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of oper...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
2021
|
| Subjects: | |
| Online Access: | Volltext |
| Summary: | "The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics"--Publisher's website |
| Physical Description: | 1 online resource (xvii, 234 p.) |
| ISBN: | 9789811225789 |
Staff View
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| id | DE-604.BV047192324 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:48:20Z |
| indexdate | 2024-07-10T09:05:13Z |
| institution | BVB |
| isbn | 9789811225789 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032597492 |
| oclc_num | 1241670501 |
| open_access_boolean | |
| physical | 1 online resource (xvii, 234 p.) |
| psigel | ZDB-124-WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Jørgensen, Palle E. T. 1947- Verfasser aut Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory by Palle Jorgensen, James Tian Singapore World Scientific 2021 1 online resource (xvii, 234 p.) txt rdacontent c rdamedia cr rdacarrier "The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics"--Publisher's website Functional analysis Hilbert space Stochastic analysis Stochastische Analysis (DE-588)4132272-1 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Electronic books Funktionalanalysis (DE-588)4018916-8 s Stochastische Analysis (DE-588)4132272-1 s DE-604 Tian, James F. Verfasser aut Erscheint auch als Druck-Ausgabe 9789811225772 https://www.worldscientific.com/worldscibooks/10.1142/11980#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Jørgensen, Palle E. T. 1947- Tian, James F. Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory Functional analysis Hilbert space Stochastic analysis Stochastische Analysis (DE-588)4132272-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4132272-1 (DE-588)4018916-8 |
| title | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory |
| title_auth | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory |
| title_exact_search | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory |
| title_exact_search_txtP | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory |
| title_full | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory by Palle Jorgensen, James Tian |
| title_fullStr | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory by Palle Jorgensen, James Tian |
| title_full_unstemmed | Infinite-dimensional analysis operators in Hilbert space ; stochastic calculus via representations, and duality theory by Palle Jorgensen, James Tian |
| title_short | Infinite-dimensional analysis |
| title_sort | infinite dimensional analysis operators in hilbert space stochastic calculus via representations and duality theory |
| title_sub | operators in Hilbert space ; stochastic calculus via representations, and duality theory |
| topic | Functional analysis Hilbert space Stochastic analysis Stochastische Analysis (DE-588)4132272-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Functional analysis Hilbert space Stochastic analysis Stochastische Analysis Funktionalanalysis |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11980#t=toc |
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