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<図書>
Analysis in integer and fractional dimensions

責任表示 Ron Blei
シリーズ Cambridge studies in advanced mathematics ; 71
データ種別 図書
出版者 Cambridge, [Eng.] ; New York : Cambridge University Press
出版年 2001
本文言語 英語
大きさ xix, 556 p. ; 24 cm
概要 This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a b...sic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and FrTchet measures in stochastic analysis. This book is primarily aimed at graduate students specializing in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable as a textbook. It is also of interest to computer scientists, physicists, statisticians, biologists and economists. 続きを見る
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所蔵情報


理系図3F 数理独自 023212001004022 BLEI/5/1 2001

書誌詳細

一般注記 Includes bibliographical references (p. 534-545) and index
著者標目 *Blei, R. C. (Ron C.)
件 名 LCSH:Harmonic analysis
LCSH:Functional analysis
LCSH:Probabilities
LCSH:Inequalities (Mathematics)
分 類 LCC:QA403
DC21:515/.2433
書誌ID 1001389007
ISBN 0521650844
NCID BA53007533
巻冊次 : hardback ; ISBN:0521650844 ; XISBN:9780521650847
登録日 2009.11.02
更新日 2017.03.14

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