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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Paul R. Halmos 著

出 版 社：

出版时间： 2006-4-1字数：版次： 1页数： 99印刷时间： 2006/04/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780821841259包装： 精装内容简介

This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a one-semester course in ergodic theory or for self-study. Readership Graduate students and research mathematicians interested in number theory. Table of Contents Introduction Examples Recurrence Mean convergence Pointwise convergence Comments on the ergodic theorem Ergodicity Consequences of ergodicity Mixing Measure algebras Discrete spectrum Automorphisms of compact groups Generalized proper values Weak topology Weak approximation Uniform topology Uniform approximation Category Invariant measures Invariant measures: the solution Invariant measures: the problem Generalized ergodic theorems Unsolved problems References.

目录

Introduction

Examples

Recurrence

Mean convergence

Pointwise convergence

Comments on the ergodic theorem

Ergodicity

Consequences of ergodicity

Mixing

Measure algebras

Discrete spectrum

Automorphisms of compact groups

Generalized proper values

Weak topology

Weak approximation

Uniform topology

Uniform approximation

Category

Invariant measures

Invariant measures: the solution

Invariant measures: the problem

Generalized ergodic theorems

Unsolved problems

References

 

 

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