Svante Janson
Gaussian Hilbert Spaces
Gebonden Engels 1997 9780521561280Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780521561280
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:352
Uitgever:Cambridge University Press
Serie:Cambridge Tracts in
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Inhoudsopgave
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.
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