Some random series of functions / Jean-Pierre Kahane

Auteur: Kahane, Jean-Pierre (1926-2017) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 5Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, cop. 1985Edition: 2nd ed.Description: 1 vol. (XIII-305 p.) ; 23 cm ISBN: 0521456029 ; br. Résumé: 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. (Source : CUP).Bibliographie: Bibliogr. p. 290-300. Index. Sujets MSC: 60-02 Probability theory and stochastic processes -- Research exposition (monographs, survey articles)
60G15 Probability theory and stochastic processes -- Stochastic processes -- Gaussian processes
60J65 Probability theory and stochastic processes -- Markov processes -- Brownian motion
60G17 Probability theory and stochastic processes -- Stochastic processes -- Sample path properties
En-ligne: sommaire
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Bibliogr. p. 290-300. Index

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. (Source : CUP)

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