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Gaussian Hilbert Spaces




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 03/2008





Trama

This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables.




Note Editore

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.




Sommario

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.




Prefazione

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.










Altre Informazioni

ISBN:

9780521057202

Condizione: Nuovo
Collana: Cambridge Tracts in Mathematics
Dimensioni: 229 x 19 x 152 mm Ø 520 gr
Formato: Brossura
Pagine Arabe: 352


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