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Martingales in Banach Spaces

2016-06-06 Mathematics
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Release : 2016-06-06
Genre : Mathematics
Kind : eBook
Book Rating : 462/5 ( reviews)

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Book Synopsis Martingales in Banach Spaces by : Gilles Pisier

Download or read book Martingales in Banach Spaces written by Gilles Pisier. This book was released on 2016-06-06. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

Martingales in Banach Spaces

2016-06-06 Mathematics
Download Martingales in Banach Spaces PDF Online Free

Author :
Release : 2016-06-06
Genre : Mathematics
Kind : eBook
Book Rating : 241/5 ( reviews)

GET EBOOK


Book Synopsis Martingales in Banach Spaces by : Gilles Pisier

Download or read book Martingales in Banach Spaces written by Gilles Pisier. This book was released on 2016-06-06. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Geometry and Martingales in Banach Spaces

2018-10-12 Mathematics
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Release : 2018-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 820/5 ( reviews)

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Book Synopsis Geometry and Martingales in Banach Spaces by : Wojbor A. Woyczynski

Download or read book Geometry and Martingales in Banach Spaces written by Wojbor A. Woyczynski. This book was released on 2018-10-12. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces.

Analysis in Banach Spaces

2016-11-26 Mathematics
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Release : 2016-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 202/5 ( reviews)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen. This book was released on 2016-11-26. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Analysis in Banach Spaces

2018-07-07 Mathematics
Download Analysis in Banach Spaces PDF Online Free

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Release : 2018-07-07
Genre : Mathematics
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen. This book was released on 2018-07-07. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

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