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Titlebook: Probability in Banach Spaces; Isoperimetry and Pro Michel Ledoux,Michel Talagrand Book 1991 Springer-Verlag Berlin Heidelberg 1991 Banach S

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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Titlebook: Probability in Banach Spaces; Isoperimetry and Pro Michel Ledoux,Michel Talagrand Book 1991 Springer-Verlag Berlin Heidelberg 1991 Banach S
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
doihttps://doi.org/10.1007/978-3-642-20212-4
isbn_softcover978-3-642-20211-7
isbn_ebook978-3-642-20212-4Series ISSN 1431-0821 Series E-ISSN 2512-5257
issn_series 1431-0821
copyrightSpringer-Verlag Berlin Heidelberg 1991
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The Central Limit Theoremto the corresponding weak ones. On the line, or in finite dimensional spaces, the moment conditions usually automatically ensure the weak limiting property. As we pointed out, this is no longer the case in general Banach spaces.
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Stationary Processes and Random Fourier Seriesed so far indeed lead to a definitive treatment of those processes with applications to Harmonic Analysis. Our main reference for this chapter is the work by M. B. Marcus and G. Pisier [M-P1], [M-P2] to which we refer for an historical background and accurate references and priorities.
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Book 1991e 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..
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