Weak convergence of measures on ℝ^{?}
Weak convergence of measures on ℝ^{?}
复制标题
ℝ^{?} 上的度量收敛较弱
DOI：
10.1090/surv/234
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
V. Bogachev
中科院分区：
文献类型：
--
作者：
V. Bogachev
本书深入阐述了与测度论、概率论、泛函分析、偏微分方程、数学物理以及其他理论和应用领域中出现的各种类型的测度收敛相关的主要概念和结果。特别注意的是弱收敛的措施。主要材料是面向广大读者处理收敛分布的随机变量和弱收敛的措施。这本书包含必要的背景，从测量理论和功能分析。针对研究人员的大型补充部分介绍了最近最重要的成就。100多个练习（从简单的介绍性练习到对有经验的读者来说相当困难的问题）都给出了提示、解决方案或参考资料。包括历史和书目评论。
This book provides a thorough exposition of the main concepts and results related to various types of convergence of measures arising in measure theory, probability theory, functional analysis, partial differential equations, mathematical physics, and other theoretical and applied fields. Particular attention is given to weak convergence of measures. The principal material is oriented toward a broad circle of readers dealing with convergence in distribution of random variables and weak convergence of measures.The book contains the necessary background from measure theory and functional analysis. Large complementary sections aimed at researchers present the most important recent achievements. More than 100 exercises (ranging from easy introductory exercises to rather difficult problems for experienced readers) are given with hints, solutions, or references. Historic and bibliographic comments are included.