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<図書>
Some random series of functions

責任表示 Jean-Pierre Kahane
シリーズ Cambridge studies in advanced mathematics ; 5
データ種別 図書
2nd ed
出版者 Cambridge [England] ; New York : Cambridge University Press
出版年 1985
本文言語 英語
大きさ xiii, 305 p. ; 24 cm
概要 This is a substantially revised and updated edition of Professor Kahane's celebrated book Some Random Series of Functions, first published in 1968. It covers random series in Banach or Hilbert spaces, random Taylor or Fourier series, Brownian motion-and other Gaussian processes, and certain types of random set and measures. In the new chapters Professor Kahane discusses geometric notions related to Hausdorff measures and dimensions, sets obtained by removing random convex bodies from a given body, images and level sets of a fractional Brownian motion and adds extra material on Brownian motion in general. He also considers continuity properties of sample functions of Gaussian processes and their application to random Fourier series (related to work by Dudley, Fernique, Marcus and Pisier). Some of this material has not been published before.
The subject matter of Some Random Series of Functions is important and has wide application in mathematics, statistics, engineering, and physics.

所蔵情報


伊都図(理系) 3F 数理独自 068222188004214 KAHA/20/5 1985

伊都図(理系) 自動書庫 068252185007122 105/KAH 1985

伊都図(理系) 自動書庫 068252185010142 105/KAH 1985

書誌詳細

一般注記 "First published by D.C. Heath & Co. 1968"--Verso of t.p.
Bibliography: p. 290-300
Includes index
著者標目 *Kahane, Jean-Pierre, 1926-
件 名 LCSH:Functions
LCSH:Series
LCSH:Random variables
LCSH:Stochastic processes
NDLSH:関数
NDLSH:級数
分 類 LCC:QA331
DC19:515
NDC8:413
書誌ID 1000001183
ISBN 052124966X
NCID BA00196245
巻冊次 ISBN:052124966X
: pbk ; ISBN:0521456029
登録日 1989.10.27
更新日 2003.12.26

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