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Gaussian Hilbert Spaces [Cambridge Tracts in Mathematics, Series Number 129]
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- ISBN
- 9780521057202
- Subject Area
- Mathematics
- Publication Name
- Gaussian Hilbert Spaces
- Publisher
- Cambridge University Press
- Item Length
- 9 in
- Subject
- Functional Analysis, Mathematical Analysis, Complex Analysis
- Publication Year
- 2008
- Series
- Cambridge Tracts in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.7 in
- Item Weight
- 18.4 Oz
- Item Width
- 6 in
- Number of Pages
- 352 Pages
關於產品
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521057205
ISBN-13
9780521057202
eBay Product ID (ePID)
64377962
Product Key Features
Number of Pages
352 Pages
Publication Name
Gaussian Hilbert Spaces
Language
English
Publication Year
2008
Subject
Functional Analysis, Mathematical Analysis, Complex Analysis
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Tracts in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
18.4 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
Reviews
This book could be an excellent text for students who would like to learn this subject, and it could also be helpful for researchers, taking into account the great care and completeness of its presentation. Bulletin of the London Mathematics Society, "The book is written in a clear...style and can also be used as the backbone of a graduate course on stochastic analysis with a view towards the applications in physics..." Monatshefte fur Mathematik
Dewey Edition
21
Series Volume Number
Series Number 129
Dewey Decimal
519.2
Table Of Content
1. Gaussian Hilbert spaces; 2. Wiener chaos; 3. Wick products; 4. Tensor products and Fock spaces; 5. Hypercontractivity; 6. Distributions of variables with finite chaos expansions; 7. Stochastic integration; 8. Gaussian stochastic processes; 9. Conditioning; 10. Limit theorems for generalized U-statistics; 11. Applications to operator theory; 12. Some operators from quantum physics; 13. The Cameron-Martin shift; 14. Malliavin calculus; 15. Transforms; Appendices.
Synopsis
This book treats the very special and fundamental mathematical properties of a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, statistics and theoretical physics. The book concentrates on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables., This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables., This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications.
LC Classification Number
QA273.6 .J36 1997
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