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Some Random Series of Functions de Csam Kahane

Some Random Series of Functions

Autor Csam Kahane, Jean-Pierre Kahane Editat de Bela Bollobás
en Limba Engleză Paperback – 13 noi 2003
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.
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Specificații

ISBN-13: 9780521456029
ISBN-10: 0521456029
Pagini: 320
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.52 kg
Ediția:Revizuită
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

'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 Gazette

Descriere

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