Introduction to Hida distributions:
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2012
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some interesting future directions. The main part of the book involves infinite dimensional differential and integral calculus based on the variable which is white noise. The present book can be used as a supplementary book to Lectures on White Noise Functionals published in 2008, with detailed background provided |
| Beschreibung: | xiii, 253 p. ill |
| ISBN: | 9789812836892 |
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| 520 | |a This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some interesting future directions. The main part of the book involves infinite dimensional differential and integral calculus based on the variable which is white noise. The present book can be used as a supplementary book to Lectures on White Noise Functionals published in 2008, with detailed background provided | ||
| 650 | 4 | |a Stochastic analysis | |
| 650 | 4 | |a White noise theory | |
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| author | Si, Si |
| author_facet | Si, Si |
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| bvnumber | BV044637128 |
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| ctrlnum | (ZDB-124-WOP)00002537 (OCoLC)1012706597 (DE-599)BVBBV044637128 |
| dewey-full | 519.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.22 |
| dewey-search | 519.22 |
| dewey-sort | 3519.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044637128 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812836892 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035100 |
| oclc_num | 1012706597 |
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| physical | xiii, 253 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2012 |
| publishDateSearch | 2012 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Si, Si Verfasser aut Introduction to Hida distributions Si Si Singapore World Scientific Pub. Co. c2012 xiii, 253 p. ill txt rdacontent c rdamedia cr rdacarrier This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some interesting future directions. The main part of the book involves infinite dimensional differential and integral calculus based on the variable which is white noise. The present book can be used as a supplementary book to Lectures on White Noise Functionals published in 2008, with detailed background provided Stochastic analysis White noise theory Stochastic differential equations Stochastische Analysis (DE-588)4132272-1 gnd rswk-swf Weißes Rauschen (DE-588)4189502-2 gnd rswk-swf Weißes Rauschen (DE-588)4189502-2 s Stochastische Analysis (DE-588)4132272-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812836885 Erscheint auch als Druck-Ausgabe 9812836888 http://www.worldscientific.com/worldscibooks/10.1142/7103#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Si, Si Introduction to Hida distributions Stochastic analysis White noise theory Stochastic differential equations Stochastische Analysis (DE-588)4132272-1 gnd Weißes Rauschen (DE-588)4189502-2 gnd |
| subject_GND | (DE-588)4132272-1 (DE-588)4189502-2 |
| title | Introduction to Hida distributions |
| title_auth | Introduction to Hida distributions |
| title_exact_search | Introduction to Hida distributions |
| title_full | Introduction to Hida distributions Si Si |
| title_fullStr | Introduction to Hida distributions Si Si |
| title_full_unstemmed | Introduction to Hida distributions Si Si |
| title_short | Introduction to Hida distributions |
| title_sort | introduction to hida distributions |
| topic | Stochastic analysis White noise theory Stochastic differential equations Stochastische Analysis (DE-588)4132272-1 gnd Weißes Rauschen (DE-588)4189502-2 gnd |
| topic_facet | Stochastic analysis White noise theory Stochastic differential equations Stochastische Analysis Weißes Rauschen |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7103#t=toc |
| work_keys_str_mv | AT sisi introductiontohidadistributions |