书目名称 | Probability in Banach Spaces |
副标题 | Isoperimetry and Pro |
编辑 | Michel Ledoux,Michel Talagrand |
视频video | |
概述 | A very comprehensive book which develops a wide variety of the methods existing in this field.An event for mathematicians working or interested in probability in Banach spaces.a presentation of the ma |
丛书名称 | Classics in Mathematics |
图书封面 |  |
描述 | .Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.. |
出版日期 | Book 1991 |
关键词 | Banach Space; Fourier series; Law of large numbers; Random variable; differential equation; entropy; law o |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-20212-4 |
isbn_softcover | 978-3-642-20211-7 |
isbn_ebook | 978-3-642-20212-4Series ISSN 1431-0821 Series E-ISSN 2512-5257 |
issn_series | 1431-0821 |
copyright | Springer-Verlag Berlin Heidelberg 1991 |