Some Random Series of Functions
2nd Edition
Published on 18. November 1993
Book
Paperback/Softback
320 pages
978-0-521-45602-9 (ISBN)
Description
Now in a paperback edition for the first time, this 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 non-specialists in the other disciplines to which this subject has application.
Reviews / Votes
'This is not an easy book, but a rewarding one, certain to have a wide influence.' American Scientist 'Kahane's book is more like a ramble through fine countryside. At every mile one is rewarded with a singing waterfall or an old farmhouse, and at virtually every step with a new wayside flower.' Proceedings of the Edinburgh Mathematical Society 'This is rich fare indeed and Kahane's beautifully composed monograph which comes equipped with a challenging collection of exercises, remains an authoritative and stimulating 'shop window' introduction to an elegant area of analysis with a seductive charm all of its own.' The Mathematical GazetteMore details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 19 mm
Weight
522 gr
ISBN-13
978-0-521-45602-9 (9780521456029)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Jean-Pierre Kahane
Some Random Series of Functions
Book
08/1985
2nd Edition
Cambridge University Press
€61.90
Article exhausted; check for reprint
Previous edition
Jean-Pierre Kahane
Some Random Series of Functions
Book
08/1985
2nd Edition
Cambridge University Press
€61.90
Article exhausted; check for reprint
Person
Content
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.