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Some Random Series of Functions

Some Random Series of Functions

2nd Edition

$82.99 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: January 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521456029

$ 82.99 (P)
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  • The second edition of Some Random Series of Functions, covers random series in Banach and Hilbert spaces, random Taylor or Fourier series, Brownian motion and other Gaussian processes, plus certain types of random sets and measures. The subject matter of this book is important and has wide application in mathematics, statistics, engineering, and physics. Professor Kahane's presentation is suitable even for beginning graduate students in probability and analysis (exercises are provided throughout), as well as nonspecialists in the other disciplines to which this subject has application.

    • Classic book - see reviews
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    Reviews & endorsements

    "...a rewarding [book], certain to have a wide influence." Robert Kaufman, American Scientist

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    Product details

    • Edition: 2nd Edition
    • Date Published: January 1994
    • format: Paperback
    • isbn: 9780521456029
    • length: 320 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.47kg
    • availability: Available
  • Table of Contents

    1. A few tools from probability theory
    2. Random series in a Banach space
    3. Random series in a Hilbert space
    4. Random Taylor series
    5. Random Fourier series
    6. A bound for random trigonometric polynomials
    7. Conditions on coefficients for regularity
    8. Conditions on coefficients for irregularity
    9. Random point masses on the circle
    10. A few geometric notions
    11. Random translates and coverings
    12. Gaussian variables and Gaussian series
    13. Gaussian Taylor series
    14. Gaussian Fourier series
    15. Boundedness and continuity for Gaussian processes
    16. The Brownian motion
    17. Brownian images in harmonic analysis
    18. Fractional Brownian images and level sets.

  • Author

    Jean-Pierre Kahane, Université de Paris XI

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