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Some Random Series of Functions

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ISBN-10: 0521456029

ISBN-13: 9780521456029

Edition: 2nd 1985 (Revised)

Authors: Jean-Pierre Kahane, B. Bollobas, W. Fulton, A. Katok, F. Kirwan

List price: $79.99
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Description:

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.
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Book details

List price: $79.99
Edition: 2nd
Copyright year: 1985
Publisher: Cambridge University Press
Publication date: 11/18/1993
Binding: Paperback
Pages: 320
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 0.990
Language: English

A few tools from probability theory
Random series in a Banach space
Random series in a Hilbert space
Random Taylor series
Random Fourier series
A bound for random trigonometric polynomials
Conditions on coefficients for regularity
Conditions on coefficients for irregularity
Random point masses on the circle
A few geometric notions
Random translates and coverings
Gaussian variables and Gaussian series
Gaussian Taylor series
Gaussian Fourier series
Boundedness and continuity for Gaussian processes
The Brownian motion
Brownian images in harmonic analysis
Fractional Brownian images and level sets