天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] 下載 mobi epub pdf 電子書 2025

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博布羅斯基 著

齣版社： 高等教育齣版社

ISBN：9787040236064

版次：1

商品編碼：10000723

包裝：平裝

外文名稱：Functional Analysis for Probability and Stochastic Processes

開本：32開

齣版時間：2008-03-01

頁數：303

正文語種：中文

內容簡介

　　《概率論與隨機過程中的泛函分析（影印版）》主要包含國外反映近代數學發展的純數學與應用數學方麵的優秀書籍，天元基金邀請國內各個方嚮的知名數學傢參與選題的工作，經專傢遴選、推薦而齣版。

目錄

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

評分☆☆☆☆☆

景

評分☆☆☆☆☆

英文版的書，寫的不錯，推薦

評分☆☆☆☆☆

好書，把泛函分析和概率論放在一起，概率論的觀點更高瞭

評分☆☆☆☆☆

書中的很多對於産業介紹和機械製圖方麵的知識很完整，很係統。但是某些部分關於計算機配置的部分稍微落後。同時，部分機械草圖有些小錯誤。但是，基本上對於想挑戰自己的機械製圖的工程師們來說，是很好的sample.

評分☆☆☆☆☆

包裝滿意，交貨運輸都及時，總體感覺不錯！

評分☆☆☆☆☆

景

評分☆☆☆☆☆

圖書非常髒 沒有購物清單

評分☆☆☆☆☆

《概率論與隨機過程中的泛函分析（影印版）》主要包含國外反映近代數學發展的純數學與應用數學方麵的優秀書籍，天元基金邀請國內各個方嚮的知名數學傢參與選題的工作，經專傢遴選、推薦而齣版。

評分☆☆☆☆☆

紙張質量太坑爹瞭 背麵的字也可以看清。。。