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Gaussian Hilbert spaces

Janson, Svante.

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Gaussian Hilbert spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Gaussian Hilbert spaces/ Svante Janson.
作者:	Janson, Svante.
出版者:	Cambridge :Cambridge University Press, : 1997.,
面頁冊數:	x, 340 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Ch. 1. Gaussian spaces -- Ch. 2. Wiener chaos -- Ch. 3. Wick products -- Ch. 4. Tensor products and Fock space -- Ch. 5. Hypercontractivity -- Ch. 6. Variables with finite chaos decompositions -- Ch. 7. Stochastic integration -- Ch. 8. Gaussian stochastic processes -- Ch. 9. Conditioning -- Ch. 10. Pairs of Gaussian subspaces -- Ch. 11. Limit theorems for generalized U-statistics -- Ch. 12. Applications to operator theory -- Ch. 13. Some operators from quantum physics -- Ch. 14. The Cameron Martin shift -- Ch. 15. Malliavin calculus -- Ch. 16. Transforms -- App. A. The monotone class theorem -- App. B. Stochastic processes -- App. C. Banach-space-valued functions and random variables -- App. D. Polarization -- App. E. Tensor products -- App. F. Reproducing Hilbert Spaces -- App. G. Analytic functions in Banach spaces -- App. H. Hilbert-Schmidt operators and singular numbers.
標題:	Gaussian distribution. -
電子資源:	https://doi.org/10.1017/CBO9780511526169
ISBN:	9780511526169

Gaussian Hilbert spaces
Janson, Svante.

Gaussian Hilbert spaces[electronic resource] /Svante Janson. - Cambridge :Cambridge University Press,1997. - x, 340 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;129. - Cambridge tracts in mathematics ;129..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Ch. 1. Gaussian spaces -- Ch. 2. Wiener chaos -- Ch. 3. Wick products -- Ch. 4. Tensor products and Fock space -- Ch. 5. Hypercontractivity -- Ch. 6. Variables with finite chaos decompositions -- Ch. 7. Stochastic integration -- Ch. 8. Gaussian stochastic processes -- Ch. 9. Conditioning -- Ch. 10. Pairs of Gaussian subspaces -- Ch. 11. Limit theorems for generalized U-statistics -- Ch. 12. Applications to operator theory -- Ch. 13. Some operators from quantum physics -- Ch. 14. The Cameron Martin shift -- Ch. 15. Malliavin calculus -- Ch. 16. Transforms -- App. A. The monotone class theorem -- App. B. Stochastic processes -- App. C. Banach-space-valued functions and random variables -- App. D. Polarization -- App. E. Tensor products -- App. F. Reproducing Hilbert Spaces -- App. G. Analytic functions in Banach spaces -- App. H. Hilbert-Schmidt operators and singular numbers.

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.

ISBN: 9780511526169Subjects--Topical Terms:

686264
Gaussian distribution.

LC Class. No.: QA273.6 / .J36 1997

Dewey Class. No.: 519.2

Gaussian Hilbert spaces
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505 0 $a Ch. 1. Gaussian spaces -- Ch. 2. Wiener chaos -- Ch. 3. Wick products -- Ch. 4. Tensor products and Fock space -- Ch. 5. Hypercontractivity -- Ch. 6. Variables with finite chaos decompositions -- Ch. 7. Stochastic integration -- Ch. 8. Gaussian stochastic processes -- Ch. 9. Conditioning -- Ch. 10. Pairs of Gaussian subspaces -- Ch. 11. Limit theorems for generalized U-statistics -- Ch. 12. Applications to operator theory -- Ch. 13. Some operators from quantum physics -- Ch. 14. The Cameron Martin shift -- Ch. 15. Malliavin calculus -- Ch. 16. Transforms -- App. A. The monotone class theorem -- App. B. Stochastic processes -- App. C. Banach-space-valued functions and random variables -- App. D. Polarization -- App. E. Tensor products -- App. F. Reproducing Hilbert Spaces -- App. G. Analytic functions in Banach spaces -- App. H. Hilbert-Schmidt operators and singular numbers.
520 $a 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.
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