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Gaussian Hilbert Spaces


Part of Cambridge Tracts in Mathematics

  • Date Published: March 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521057202

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About the Authors
  • 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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    • Author well known in this area
    • Comprehensive coverage of subject
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    Reviews & endorsements

    '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

    ' … a well-written study …' European Mathematical Society

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    Product details

    • Date Published: March 2008
    • format: Paperback
    • isbn: 9780521057202
    • length: 352 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.52kg
    • availability: Available
  • Table of Contents

    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

  • Author

    Svante Janson

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