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<図書>
White noise : an infinite dimensional calculus

責任表示 by Takeyuki Hida ... [et al.]
シリーズ Mathematics and its applications ; v. 253
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1993
本文言語 英語
大きさ xiii, 516 p. ; 25 cm
概要 This monograph presents a framework for infinite dimensional analysis based on white noise. This approach, which has many areas of application is both intuitive and efficient. Among the concepts and ...tructures generalized to an infinite dimensional setting in this book are: spaces of test and generalized functions, differential calculus, Laplacian and Fourier transforms and Dirichlet forms and their Markov processes. A multitude of concepts, such as Brownian motion functionals, falls into this framework. This book presents a simple, yet general theory of stochastic integration and also discusses construction quantum field theory and Feynman's functional integration. This volume will be of interest to mathematicians and scientists who use stochastic methods in their research. The book will be of particular value to mathematicians in probability theory, functional analysis, measure theory, potential theory, as well as to physicists and scientists in engineering. 続きを見る

所蔵情報


芸工2階 072032193003514 417.1/H54 1993

書誌詳細

一般注記 Bibliography: p. 486-506
Includes index
著者標目 飛田, 武幸(1927-) <ヒダ, タケユキ>
件 名 LCSH:Gaussian processes
LCSH:Wiener integrals
分 類 LCC:QA274.4
DC20:519.2
書誌ID 1001132593
ISBN 0792322339
NCID BA19812741
巻冊次 ISBN:0792322339
登録日 2009.09.17
更新日 2009.09.17

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