巴拿赫空间中的概率论(英文影印版)
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原书名: Probability in Banach Spaces: Isoperimetry and Processes (Classics in Mathematics)
原出版社: Springer
作者: Michel Ledoux Michel Talagrand
出版社:世界图书出版公司
ISBN:9787510048050
上架时间:2013-5-24
出版日期:2012 年9月
开本:16开
页码:480
版次:1-1
购买地址:http://product.china-pub.com/306108
《巴拿赫空间中的概率论(英文影印版)》是一部全面讲述巴纳赫空间概率论的完美教程,作为概率论的一个分支,该理论已经得到了很好的发展。等周,测度和随机过程这些是学习巴纳赫空间概率论的基础技巧工具,《巴拿赫空间中的概率论(英文影印版)》全面介绍了巴纳赫空间中概率论的主要概念(积分,向量值随机变量的极限定理和随机变量的连续性)以及它们和巴纳赫空间几何的关系。《巴拿赫空间中的概率论(英文影印版)》旨在从基础到重要结果将该理论的方方面面阐述清楚,等周,测度和抽象随机过程技巧是本书的重点,并且深入讨论了概率工具和经典巴纳赫理论。
目次:等周的背景和一般概念;巴纳赫空间值的随机变量及其强极限性质;向量值随机变量的封闭性和随机过程的规则。
读者对象:数学、概率统计专业的学生、老师以及对概率论感兴趣的专家学者。
This book tries to present some of the main aspects of the theory of probability in banach spaces, from the foundations of the topic to the latest developments and current research questions. the past twenty years saw intense activity in the study of classical probability theory on infinite dimensional spaces. vector valued random variables, boundedness and continuity of ran-dom processes, with a fruitful interaction with classical banach spaces and their geometry. a large community of mathematicians, from classical probabilists to pure analysts and functional analysts, participated to this common achievement.
The recent use of isoperimetric tools and concentration of measure phenomena, and of abstract random process techniques has led today to rather a complete picture of the field. these developments prompted the authors to undertake the writing of this exposition based on this modern point of view.
This book does not pretend to cover all the aspects of the subject and of its connections with other fields. in spite of its ommissions, imperfections and errors, for which we would like to apologize, we hope that this work gives an attractive picture of the subject and will serve it appropriately.
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