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Some Random Series of Functions

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Some Random Series of Functions Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This second edition 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--subjects of application in mathematics, statistics, engineering and physics.

Synopsis:

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.

Synopsis:

The subject matter of Some Random Series of Functions is important and has wide application in mathematics, statistics, engineering, and physics.

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.

Product Details

ISBN:
9780521456029
Editor:
Kahane, Csam
Author:
Kahane, Jean-Pierre
Editor:
Bollobas, B.
Editor:
Bollobas, Bela
Author:
Kahane, Csam
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Mathematics
Subject:
Differential Equations
Subject:
Probability
Subject:
Probability & Statistics - General
Subject:
Mathematics | Probability and Statistics
Subject:
Mathematical Analysis
Edition Number:
2
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
5
Publication Date:
20031131
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
320
Dimensions:
8.95x5.99x.73 in. 1.00 lbs.

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Some Random Series of Functions New Trade Paper
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Product details 320 pages Cambridge University Press - English 9780521456029 Reviews:
"Synopsis" by , This second edition 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--subjects of application in mathematics, statistics, engineering and physics.
"Synopsis" by , 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.
"Synopsis" by , The subject matter of Some Random Series of Functions is important and has wide application in mathematics, statistics, engineering, and physics.
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