天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes]

天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] 下载 mobi epub pdf 电子书 2024


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发表于2024-07-08

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出版社: 高等教育出版社
ISBN:9787040236064
版次:1
商品编码:10000723
包装:平装
外文名称:Functional Analysis for Probability and Stochastic Processes
开本:32开
出版时间:2008-03-01
页数:303
正文语种:中文


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内容简介

  《概率论与随机过程中的泛函分析(影印版)》主要包含国外反映近代数学发展的纯数学与应用数学方面的优秀书籍,天元基金邀请国内各个方向的知名数学家参与选题的工作,经专家遴选、推荐而出版。

目录

Preface
1 Preliminaries, notations and conventions
1.1 Elements of topology
1.2 Measure theory
1.3 Functions of bounded variation. Riemann-Stieltjes integral
1.4 Sequences of independent random variables
1.5 Convex functions. Holder and Minkowski inequalities
1.6 The Cauchy equation

2 Basic notions in functional analysis
2.1 Linear spaces
2.2 Banach spaces
2.3 The space of bounded linear operators

3 Conditional expectation
3.1 Projections in Hilbert spaces
3.2 Definition and existence of conditional expectation
3.3 Properties and examples
3.4 The Radon-Nikodym Theorem
3.5 Examples of discrete martingales
3.6 Convergence of self-adjoint operators
3.7 ... and of martingales

4 Brownian motion and l-Iilbert spaces
4.1 Gaussian families & the definition of Brownian motion
4.2 Complete orthonormal sequences in a Hilbert space
4.3 Construction and basic properties of Brownian motion
4.4 Stochastic integrals

5 Dual spaces and convergence of probability measures
5.1 The Hahn-Banach Theorem
5.2 Form of linear functionals in specific Banach spaces
5.3 Thedual of an operator
5.4 Weak and weak* topologies
5.5 The Central Limit Theorem
5.6 Weak convergence in metric spaces
5.7 Compactness everywhere
5.8 Notes on other modes of convergence

6 The Gelfand transform and its applications
6.1 Banach algebras
6.2 The Gelfand transform
6.3 Examples of Gelfand transform
6.4 Examples of explicit calculations of Gelfand transform
6.5 Dense subalgebras of C(S)
6.6 Inverting the abstract Fourier transform
6.7 The Factorization Theorem

7 Semigroups of operators and Levy processes
7.1 The Banach-Steinhaus Theorem
7.2 Calculus of Banach space valued functions
7.3 Closed operators
7.4 Semigroups of operators
7.5 Brownian motion and Poisson process semigroups
7.6 More convolution semigroups
7.7 The telegraph process semigroup
7.8 Convolution semigroups of measures on semigroups

8 Markov processes and semigroups of operators
8.1 Semigroups of operators related to Markov processes
8.2 The Hille-Yosida Theorem
8.3 Generators of stochastic processes
8.4 Approximation theorems

9 Appendixes
9.1 Bibliographical notes
9.2 Solutions and hints to exercises
9.3 Some commonly used notations
References
Index
天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] 下载 mobi epub pdf txt 电子书 格式

天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] 下载 mobi pdf epub txt 电子书 格式 2024

天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
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用户评价

评分

终于买到手了,正版很正版,

评分

图书馆就能借到,但实在觉得不错,故买来收藏。

评分

英文版的书,写的不错,推荐

评分

内容很全面,书名包含了3门课的名字,内容挺多的,有点难度。

评分

好书,把泛函分析和概率论放在一起,概率论的观点更高了!!

评分

好书好书好书好书好书好书好书好书

评分

好书,把泛函分析和概率论放在一起,概率论的观点更高了!!

评分

买了参考用的,查的时候用一下。

评分

纸张质量太坑爹了 背面的字也可以看清。。。

类似图书 点击查看全场最低价

天元基金影印数学丛书:概率论与随机过程中的泛函分析(影印版) [Functional Analysis for Probability and Stochastic Processes] mobi epub pdf txt 电子书 格式下载 2024


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